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The λ-pure Singularity Category of a Grothendieck Category
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作者 WANG Xi YAO Hailou 《数学进展》 北大核心 2026年第2期330-342,共13页
Let A be a Grothendieck category.Theλ-pure singularity category D_(λ-sg)^(b)(A)of A is a Verdier quotient of the boundedλ-pure derived category D_(λ)^(b)(A)by a thick subcategory K^(b)(PPλ),i.e.,D_(λ-sg)^(b)(A):... Let A be a Grothendieck category.Theλ-pure singularity category D_(λ-sg)^(b)(A)of A is a Verdier quotient of the boundedλ-pure derived category D_(λ)^(b)(A)by a thick subcategory K^(b)(PPλ),i.e.,D_(λ-sg)^(b)(A):=D_(λ)^(b)(A)/K b(PPλ).We mainly verify that D_(λ-sg)^(b)(A)is triangle equivalent to another quotient category under a special condition.And we also prove that a triangle equivalence between special homotopy categories induces aλ-pure derived equivalence,and it induces aλ-pure singular equivalence too. 展开更多
关键词 λ-presentable object λ-pure projective object λ-pure singularity category triangle equivalence
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Essay on robust prescribed-time stabilization
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作者 Yury Orlov 《Journal of Automation and Intelligence》 2026年第1期57-68,共12页
As well-known,prescribed-time stabilizing design faces the need of using time-varying high gains which escape to infinity as time approaches the desired instant.In the presence of measurement noise,the corresponding s... As well-known,prescribed-time stabilizing design faces the need of using time-varying high gains which escape to infinity as time approaches the desired instant.In the presence of measurement noise,the corresponding state response is also significantly amplified that leads to the lack of robustness in the closedloop implementation.In order to eliminate this drawback,the implicit Euler discretization of the closed-loop in question is recently developed in where desired robustness properties are conserved beyond the prescribedtime interval while also bounded state dynamics are ensured in the presence of measurement noise.Along this line,stabilizing prescribed-observer-based output feedback algorithms and their digital implementation are reviewed.For tutorial value,the underlying state feedback and observer designs are recalled side by side in continuous-and discrete-time perspectives,followed by the desired output feedback design.Open problems,calling for future investigation,conclude the review. 展开更多
关键词 Prescribed-time stabilization Finite/fixed-time stability Output feedback
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Impedance Reshaping Based Stability Analysis and Stabilization Control for Flexibly Interconnected Distribution Networks
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作者 Yutao Xu Zukui Tan +3 位作者 Xiaofeng Gu Zhuang Wu Jikai Li Qihui Feng 《Energy Engineering》 2026年第4期154-174,共21页
Flexibly interconnected distribution networks(FIDN)offer improved operational efficiency and operational control flexibility of power distribution systems through DC interconnection links,and have gradually become the... Flexibly interconnected distribution networks(FIDN)offer improved operational efficiency and operational control flexibility of power distribution systems through DC interconnection links,and have gradually become the main form of distribution networks.Aiming at the impact of constant power loads and converter transmission power variations in FIDN system stability,this paper presents an impedance reshaping based stability analysis and stabilization control to enhance the stability of the interconnected system and improve the system’s dynamic load response capability.Firstly,a small-single based equivalent impedance model of FIDN system,which consists flexibly interconnected equipment,energy storage,PV units,and constant power loads,is presented,and the total output and input impedance of the DC distribution network are derived.Secondly,the impacts of constant power loads and transmission power variations on the small-signal stability of FIDN system are analyzed through Nyquist stability curves using the impedance ratio criterion.Then,an impedance reshaping-based stability enhancement strategy for the FIDN system is proposed,which can significantly improve the system stability under the operating conditions of constant power loads and transmission power variations.Finally,a MATLAB/Simulink simulation model is built and tested.The results demonstrate that the proposed impedance reshaping strategy effectively mitigates voltage dips,surges,and DC bus fluctuations,shortens transient responses under power variations,and enables rapid stability recovery with reduced voltage drop during severe AC sags. 展开更多
关键词 stability analysis low-voltage AC/DC distribution areas stabilization control
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Pure Singularity Categories over Triangular Matrix Rings
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作者 Meiqi YAN Hailou YAO 《Journal of Mathematical Research with Applications》 2026年第2期197-208,共12页
In this paper,we identify conditions on the change of rings to induce functors between the two pure derived(resp.,pure singularity)categories.Then we construct recollements of pure derived categories and pure singular... In this paper,we identify conditions on the change of rings to induce functors between the two pure derived(resp.,pure singularity)categories.Then we construct recollements of pure derived categories and pure singularity categories for a formal triangular matrix ring,respectively.As an application,we study the pure global dimension of a formal triangular matrix ring. 展开更多
关键词 pure derived category pure singularity category triangular matrix ring RECOLLEMENT
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Synergistic quicklime-microbial stabilization of red-bedded mudstone
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作者 Lei Cheng Huafeng Deng +6 位作者 Yao Xiao Jianlin Li Wenxi Zhu Eleyas Assefa Chackfan Lee Hao Tian Xing Chen 《Journal of Rock Mechanics and Geotechnical Engineering》 2026年第3期2314-2327,共14页
To enhance the stabilization performance of red-bedded mudstone subgrade soil,a novel synergistic technique combining microorganisms and quicklime was developed and evaluated through comprehensive physical,mechanical,... To enhance the stabilization performance of red-bedded mudstone subgrade soil,a novel synergistic technique combining microorganisms and quicklime was developed and evaluated through comprehensive physical,mechanical,and microstructural analyses.The results demonstrated that quicklime significantly improved the pore structure by increasing the proportion of pores with diameters in the range of 0.5-50μm,thereby facilitating microbial migration and calcium carbonate precipitation.The proposed technique effectively enhanced cementitious material production(cementation rate:6.83%),unconfined compressive strength(1.63 MPa),and resistance to swelling and deformation(swelling rate:0.26%).The observed synergistic effect can be attributed to two primary mechanisms.First,quicklime promotes soil particle agglomeration,resulting in larger pores that enable bacterial mobility and provide optimal microenvironments for microbial activity.Second,during curing,quicklime undergoes hydration and ionization,releasing Ca^(2+)and OH^(−)ions.The Ca^(2+)ions serve as calcium sources for microbial-induced carbonate precipitation,while the OH−ions react with SiO_(2)and Al_(2)O_(3) to form hydrated gels that develop a skeletal soil structure.Meanwhile,the exothermic reaction further accelerates calcium carbonate deposition within the agglomerated pores. 展开更多
关键词 Red-bedded mudstone Microorganisms QUICKLIME Pore structure Synergistic stabilization
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Solidification/stabilization mechanisms of heavy metal ions in cemented paste backfill for green mine operations:A review
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作者 Huazhe Jiao Xinyu Ge +7 位作者 Qi Wang Tao Rong Zhu’en Ruan Gongcheng Li Junqiang Xu Xu Chang Xuewen Lian Yuan Fang 《International Journal of Minerals,Metallurgy and Materials》 2026年第2期382-400,共19页
Rapid industrialization in China has caused significant environmental challenges,particularly heavy metal pollution from mine tailings.Toxic heavy metals such as lead(Pb),cadmium(Cd),and mercury(Hg)are released during... Rapid industrialization in China has caused significant environmental challenges,particularly heavy metal pollution from mine tailings.Toxic heavy metals such as lead(Pb),cadmium(Cd),and mercury(Hg)are released during the processing of mining wastewater and leaching of mine tailings.Owing to their excellent physicochemical properties,cementitious materials are widely used for the solidification/stabilization of heavy metals,immobilizing heavy metals via two distinct mechanisms.Physically,their favorable characteristics,including high mechanical strength,low porosity,and durable matrix,create effective barriers.Chemically,the alkaline environment facilitates the precipitation of metal hydroxides/carbonates.Conversely,hydration products(calcium silicate hydrate gels and ettringite)contribute to immobilization through adsorption and physical encapsulation.This study systematically investigated the migration mechanisms of heavy metal contaminants in mine tailings;further,it elucidated the multifaceted immobilization pathways of cementitious materials,which involve synergistic adsorption,precipitation,and encapsulation by hydration products combined with homocrystalline substitution.A comprehensive analysis indicated that cementitious materials significantly reduced the mobility and bioavailability of heavy metals.Nonetheless,their long-term stability and potential environmental impact require further investigation.This study aims to provide theoretical support for environmental management and sustainable resource utilization,and to explore the broader application potential of cementitious technology for heavy metal stabilization,thereby establishing a theoretical foundation for future research on heavy metals in low-cement solidified/stabilized tailings. 展开更多
关键词 TAILINGS heavy metal pollution environmental risks low-cement solidification/stabilization
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Lattice-oxygen modulation for redox stabilization and multi-electron transfer in lithium-rich cathodes
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作者 Mingche Huang Ruian Fan +5 位作者 Chenkai Sun Aoshen Duan Hao Cheng Ruguang Ma Erhong Song Jianjun Liu 《Materials Reports(Energy)》 2026年第1期94-102,共9页
Lithium-rich layered oxides(LRLOs)are promising cathode materials due to their high specific capacity,energy density,and operating voltage.However,their performance is hindered by the limited redox activity of transit... Lithium-rich layered oxides(LRLOs)are promising cathode materials due to their high specific capacity,energy density,and operating voltage.However,their performance is hindered by the limited redox activity of transition metals,leading to oxygen redox instability,oxygen release,and capacity degradation.To address these issues,we propose an innovative lattice-oxygen modulation(LOM)strategy that incorporates Mn^(3+)and Ti^(4+)into the Li_(1.2)Cr_(0.3)Mn_(0.4)Ti_(0.1)O_(2) system,effectively mitigating Cr migration,stabilizing oxygen redox reactions,and reinforcing structural integrity.This results in improved electrochemical performance,as demonstrated by a 56.5 mAh g^(−1) increase in initial discharge capacity to 364.2 mAh g^(−1),with 71.3%capacity retention after 30 cycles,reflecting a 20.2%improvement in cycling stability.Density functional theory(DFT)calculations confirm enhanced Cr redox reversibility and reduced oxygen evolution,further strengthening structural stability.These synergistic effects highlight the pivotal role of the LOM strategy in optimizing both electrochemical performance and structural integrity,offering a scalable pathway to improve capacity and cycling stability in lithium-rich cathodes. 展开更多
关键词 Lithium-rich cathodes Oxygen modulation Redox stabilization Multi-electron transfer enhancement Lattice reinforcement
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Global Adaptive Event-Triggered Designated-Time Stabilization of Uncertain Nonlinear Systems
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作者 Jiao-Jiao Li Zong-Yao Sun +1 位作者 Changyun Wen Chih-Chiang Chen 《IEEE/CAA Journal of Automatica Sinica》 2026年第1期110-122,共13页
This paper explores the adaptive exponentially designated-time stabilization issue via event-triggered feedback for a kind of uncertain high-order nonlinear systems.The motivation mainly comes from the following two c... This paper explores the adaptive exponentially designated-time stabilization issue via event-triggered feedback for a kind of uncertain high-order nonlinear systems.The motivation mainly comes from the following two challenges:the undesired singularity problem arising from infinite control gains at the prescribed-time instant,the effective trade-off between the control amplitude and the triggering duration.The goal is to build an event-triggered mechanism comprising a skillful triggered rule alongside a time-dependent threshold.Utilizing the designed control strategy,the solutions'existence and the prevention of Zeno phenomenon are successfully guaranteed by using a new transformation equipped with a time-varying function and redesigning the continuous state-feedback dominance approach with an array of integral functions involving embedded sign functions.Better than existing prescribed-time methods,our approach not only ensures that state variables converge to a small compact set before a designated time and stay there henceforth,and converge to the origin exponentially,but also ensures that the controller continuously works on the whole-time horizon.Two illustrative examples are given to show the effectiveness of the devised scheme. 展开更多
关键词 Adaptive control event-triggered control exponentially designated-time stabilization switching strategy time-varying threshold
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Optimizing UCS Prediction Models through XAI-Based Feature Selection in Soil Stabilization
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作者 Ahmed Mohammed Awad Mohammed Omayma Husain +5 位作者 Mosab Hamdan Abdalmomen Mohammed Abdullah Ansari Atef Badr Abubakar Elsafi Abubakr Siddig 《Computer Modeling in Engineering & Sciences》 2026年第2期524-549,共26页
Unconfined Compressive Strength(UCS)is a key parameter for the assessment of the stability and performance of stabilized soils,yet traditional laboratory testing is both time and resource intensive.In this study,an in... Unconfined Compressive Strength(UCS)is a key parameter for the assessment of the stability and performance of stabilized soils,yet traditional laboratory testing is both time and resource intensive.In this study,an interpretable machine learning approach to UCS prediction is presented,pairing five models(Random Forest(RF),Gradient Boosting(GB),Extreme Gradient Boosting(XGB),CatBoost,and K-Nearest Neighbors(KNN))with SHapley Additive exPlanations(SHAP)for enhanced interpretability and to guide feature removal.A complete dataset of 12 geotechnical and chemical parameters,i.e.,Atterberg limits,compaction properties,stabilizer chemistry,dosage,curing time,was used to train and test the models.R2,RMSE,MSE,and MAE were used to assess performance.Initial results with all 12 features indicated that boosting-based models(GB,XGB,CatBoost)exhibited the highest predictive accuracy(R^(2)=0.93)with satisfactory generalization on test data,followed by RF and KNN.SHAP analysis consistently picked CaO content,curing time,stabilizer dosage,and compaction parameters as the most important features,aligning with established soil stabilization mechanisms.Models were then re-trained on the top 8 and top 5 SHAP-ranked features.Interestingly,GB,XGB,and CatBoost maintained comparable accuracy with reduced input sets,while RF was moderately sensitive and KNN was somewhat better owing to reduced dimensionality.The findings confirm that feature reduction through SHAP enables cost-effective UCS prediction through the reduction of laboratory test requirements without significant accuracy loss.The suggested hybrid approach offers an explainable,interpretable,and cost-effective tool for geotechnical engineering practice. 展开更多
关键词 Explainable AI feature selection machine learning SHAP analysis soil stabilization unconfined compressive strength
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Photostabilization of Poly(butylene adipate-co-terephthalate)(PBAT)Films with Hindered Amine Light Stabilizers:Performance Evaluation and Mechanistic Insights
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作者 Yang Wang Wen-Qing He +9 位作者 Su-Nan Tian Yue Wang Run-Hao Bai Aurore Richel Qiu-Yun Liu Jia-Lei Liu Cai-Bin Li He-Qing Cai Zhi-Chao Zhen Qi Liu 《Chinese Journal of Polymer Science》 2026年第4期1046-1058,I0014,共14页
The application of poly(butylene adipate-co-terephthalate)(PBAT)biodegradable plastics has long been constrained by insufficient light aging resistance.Hindered amine light stabilizers(HALSs),known as eco-friendly add... The application of poly(butylene adipate-co-terephthalate)(PBAT)biodegradable plastics has long been constrained by insufficient light aging resistance.Hindered amine light stabilizers(HALSs),known as eco-friendly additives,can scavenge free radicals to enhance polymer durability.However,rough choices have resulted in wastage of resources and environmental pressure.Based on the application of plastic films as the background for use,this study systematically evaluates application effects of five HALSs.The films underwent accelerated aging for various durations and were further investigated by a combination of experiments and molecular simulation.Results showed that all HALSs mitigated PBAT light aging,with Chimassorb-944(UV-944)and Tinuvin-770(UV-770)performing the best for real applications.Quantum chemical calculation results showed that UV-944 had stronger anti migration ability.After 300 h of aging,films with UV-944 and UV-770 retained superior tensile strength and elongation at break in the transverse direction compared to neat PBAT films.Polymeric HALSs provided better long-term stability than small-molecule ones.Further spectra analysis indicated that stronger C―O bonds in HALS/PBAT composites correlated with improved photostability.This study offers valuable insights into improving weather resistance of PBAT biodegradable films and optimizing the real application of HALSs. 展开更多
关键词 Poly(butylene adipate-co-terephthalate) Hindered amine light stabilizers Accelerated aging Light aging resistance Mechanism
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Low-polarity solvent-mediated lithium metal stabilization for improved performance in lithium–sulfur batteries
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作者 Seung-Yeon Jung Yao-Peng Chen +4 位作者 Yun-Jeong Lee So Hee Kim Jong-Seong Bae Xiang Chen Seung-Ho Yu 《Journal of Energy Chemistry》 2026年第3期737-749,共13页
Rechargeable lithium–sulfur(Li–S)batteries are considered promising next-generation energy storage systems owing to their high theoretical energy density,but their application is hindered by the shuttle effect arisi... Rechargeable lithium–sulfur(Li–S)batteries are considered promising next-generation energy storage systems owing to their high theoretical energy density,but their application is hindered by the shuttle effect arising from dissolved lithium polysulfides(LiPSs).Herein,we design an optimized electrolyte to achieve long-term stability by employing an appropriate low-polarity solvent.A combination of diethyl ether(DEE)and 1,2-dimethoxyethane(DME)was selected to improve Li metal stability even in the presence of LiPSs.The DEE/DME electrolyte not only suppresses parasitic reactions between Li and LiPSs but also promotes uniform Li deposition.Moreover,operando optical microscopy was employed to directly visualize electrolyte stability and dendrite evolution in real time,while quantitative analysis was conducted via normalized hue index and contour image mapping.The enhanced anode stability of the DEE/DME electrolyte enabled excellent cycling performance,retaining 80.14%of its initial capacity after300 cycles at 3 C,while maintaining superior performance under practical conditions with high sulfur loading and a low E/S ratio.These findings highlight that solvent properties critically influence Li metal stabilization in Li–S batteries and underscore the significance of solvent engineering in electrolyte design. 展开更多
关键词 Li–S batteries Electrolyte engineering Solvent polarity Solvent effects Anode stabilization Operando optical microscopy
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ASYMPTOTIC STABILIZATION IN A TWO-DIMENSIONAL SINGULAR CHEMOTAXIS-NAVIER-STOKES SYSTEM WITH INDIRECT SIGNAL CONSUMPTION
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作者 Feng DAI Bin LIU 《Acta Mathematica Scientia》 2025年第4期1355-1383,共29页
This paper deals with the singular chemotaxis-Navier-Stokes system with indirect signal consumption n_(t)+u·▽v=△n-Х▽·(n/v▽u);v_(t)+u·▽v=△v-uw;w_(t)+u·▽w=△w-w+n;u_(t)+(u·▽)u=△u-▽P+... This paper deals with the singular chemotaxis-Navier-Stokes system with indirect signal consumption n_(t)+u·▽v=△n-Х▽·(n/v▽u);v_(t)+u·▽v=△v-uw;w_(t)+u·▽w=△w-w+n;u_(t)+(u·▽)u=△u-▽P+n▽Ф;▽·u=0,x∈Ω,t>0 in a bounded and smooth domainΩ⊂ℝ2 with no-flux/no-flux/no-flux/no-slip boundary conditions,whereΦ∈W2,∞(Ω).A recent literature[Dai F,Liu B.J Differential Equations,2023,369:115–155]has proved that for all reasonably regular initial data,the associated initial-boundary value problem possesses a global classical solution,but qualitative information on the behavior of solution has never been touched so far.In stark contrast to the positive effect of indirect signal consumption mechanism on the global solvability of system,the analysis of asymptotic behavior of solution to the system with indirect signal consumption is essentially complicated than that with direct signal consumption because the favorable coupled structure between cells and signal is broken down by the indirect signal consumption mechanism.The present study shows that the global classical solution exponentially stabilizes toward the corresponding spatially homogeneous equilibria under a smallness condition on the initial cell mass.In comparison to the previously known result concerning the uniform convergence of solution to the system with direct signal consumption,our result inter alia provides a more in-depth understanding on the asymptotic behavior of solution. 展开更多
关键词 chemotaxis-Navier-Stokes system singular sensitivity indirect signal consumption asymptotic stabilization
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From translation to stabilization and degradation:A multifaceted approach for the treatment of superoxide dismutase 1-associated amyotrophic lateral sclerosis
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作者 Christen G.Chisholm Luke McAlary Jeremy S.Lum 《Neural Regeneration Research》 2026年第7期2946-2947,共2页
Superoxide dismutase 1(SOD1)is a thermodynamically stable,zinc and copper binding homodimeric enzyme responsible for breaking down superoxide radicals.More than 200,mostly missense,mutations spread throughout the SOD1... Superoxide dismutase 1(SOD1)is a thermodynamically stable,zinc and copper binding homodimeric enzyme responsible for breaking down superoxide radicals.More than 200,mostly missense,mutations spread throughout the SOD1 gene are associated with the fatal neurodegenerative disease,amyotrophic lateral sclerosis(ALS).A unifying feature of ALS-associated SOD1 mutations is the destabilization of the SOD1 protein structure,increasing the propensity for misfolding and subsequent pathological aggregation.Post-mortem analysis of SOD1-associated ALS tissue shows the accumulation of misfolded SOD1 protein and ubiquitinated SOD1 inclusions within motor neurons.Misfolded SOD1 accumulation and aggregates are implicated in cellular dysfunction via a number of disparate but critical processes,including endoplasmic reticulum stress,oxidative damage,proteasome dysfunction,axonal transport abnormalities and synaptic dysfunction;culminating in motor neuron degeneration associated with ALS. 展开更多
关键词 copper binding homodimeric enzyme destabilization sod protein structureincreasing stabilization superoxide dismutase lateral sclerosis als TRANSLATION DEGRADATION breaking down superoxide radicalsmore
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Coexistence of near-E_(F) Van Hove Singularity and in-Gap Topological Dirac Surface States in Superconducting Electrides
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作者 Yin Yang Peihan Sun +9 位作者 Ye Shen Zhijun Tu Pengcheng Ma Hongrun Zhen Tianqi Wang Longli Tian Tian Cui Hechang Lei Kai Liu Zhonghao Liu 《Chinese Physics Letters》 2026年第1期213-217,共5页
Superconducting elect rides have attracted growing attention for their potential to achieve high superconducting transition temperatures(T_(C))under pressure.However,many known elect rides are chemically reactive and ... Superconducting elect rides have attracted growing attention for their potential to achieve high superconducting transition temperatures(T_(C))under pressure.However,many known elect rides are chemically reactive and unstable,making high-quality single-crystal growth,characterization,and measurements difficult,and most do not exhibit superconductivity at ambient pressure.In contrast,La_(3) In stands out for its ambient-pressure superconductivity(T_(C)∼9.4 K)and the availability of high-quality single crystals.Here,we investigate its low-energy electronic structure using angle-resolved photoemission spectroscopy and first-principles calculations.The bands near the Fermi energy(E_(F))are mainly derived from La 5d and In 5p orbitals.A saddle point is directly observed at the Brillouin zone(BZ)boundary,while a three-dimensional Van Hove singularity crosses E_(F) at the BZ corner.First-principles calculations further reveal topological Dirac surface states within the bulk energy gap above E_(F).The coexistence of a high density of states and in-gap topological surface states near𝐸F suggests that La3In offers a promising platform for tuning superconductivity and exploring possible topological superconducting phases through doping or external pressure. 展开更多
关键词 ambient pressure superconductivity superconducting elect rides gap topological Dirac surface states La superconducting electrides near e_(f)Van Hove singularity angle resolved photoemission spectroscopy elect rides
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Robust Stability and Stabilization of Discrete Singular Systems with Interval Time-varying Delay and Linear Fractional Uncertainty 被引量:8
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作者 Jian-Min Jiao 《International Journal of Automation and computing》 EI 2012年第1期8-15,共8页
The robust stability and robust stabilization problems for discrete singular systems with interval time-varying delay and linear fractional uncertainty are discussed. A new delay-dependent criterion is established for... The robust stability and robust stabilization problems for discrete singular systems with interval time-varying delay and linear fractional uncertainty are discussed. A new delay-dependent criterion is established for the nominal discrete singular delay systems to be regular, causal and stable by employing the linear matrix inequality (LMI) approach. It is shown that the newly proposed criterion can provide less conservative results than some existing ones. Then, with this criterion, the problems of robust stability and robust stabilization for uncertain discrete singular delay systems are solved, and the delay-dependent LMI conditions are obtained. Finally, numerical examples are given to illustrate the effectiveness of the proposed approach. 展开更多
关键词 Discrete singular systems time-varying delay linear fractional uncertainty robust stability robust stabilization linear matrix inequality (LMI).
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An Improved Approach to Delay-dependent Robust Stabilization for Uncertain Singular Time-delay Systems 被引量:7
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作者 Xin Sun Qing-Ling Zhang +2 位作者 Chun-Yu Yang Zhan Su Yong-Yun Shao 《International Journal of Automation and computing》 EI 2010年第2期205-212,共8页
In this paper, delay-dependent stability analysis and robust stabilization for uncertain singular time-delay systems are addressed. By using Jensen integral inequality, an improved delay-dependent criterion of admissi... In this paper, delay-dependent stability analysis and robust stabilization for uncertain singular time-delay systems are addressed. By using Jensen integral inequality, an improved delay-dependent criterion of admissibility for singular time-delay systems is proposed in terms of linear matrix inequality (LMI). Our new proposed criterion is less conservative and the numerical complexity is smaller than the existing ones. Based on this criterion, a state feedback controller is designed to ensure that the uncertain singular time-delay system is admissible. Finally, three numerical examples are employed to illustrate the effectiveness of the proposed method. 展开更多
关键词 DELAY-DEPENDENT singular time-delay systems ADMISSIBLE robust stabilization.
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Stability analysis and stabilization for discrete-time singular delay systems 被引量:3
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作者 Xin Sun Qingling Zhang +1 位作者 Chunyu Yang Zhan Su 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第3期482-487,共6页
Stability analysis and stabilization for discrete-time singular delay systems are addressed,respectively.Firstly,a sufficient condition for regularity,causality and stability for discrete-time singular delay systems i... Stability analysis and stabilization for discrete-time singular delay systems are addressed,respectively.Firstly,a sufficient condition for regularity,causality and stability for discrete-time singular delay systems is derived.Then,by applying the skill of matrix theory,the state feedback controller is designed to guarantee the closed-loop discrete-time singular delay systems to be regular,casual and stable.Finally,numerical examples are given to demonstrate the effectiveness of the proposed method. 展开更多
关键词 discrete-time singular systems DELAY stabilITY stabilization.
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Delay-dependent robust stabilization for uncertain singular systems with discrete and distributed delays 被引量:5
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作者 Zhengguang WU Wuneng ZHOU 《控制理论与应用(英文版)》 EI 2008年第2期171-176,共6页
This paper investigates the problem of delay-dependent robust stabilization for uncertain singular systems with discrete and distributed delays in terms of linear matrix inequality (LMI) approach. Based on a delay-d... This paper investigates the problem of delay-dependent robust stabilization for uncertain singular systems with discrete and distributed delays in terms of linear matrix inequality (LMI) approach. Based on a delay-dependent stability condition for the nominal system, a state feedback controller is designed, which guarantees the resultant closed- loop system to be robustly stable. An explicit expression for the desired controller is also given by solving a set of matrix inequalities. Some numerical examples are provided to illustrate the less conservativeness of the proposed methods. 展开更多
关键词 singular systems Time-delay systems DELAY-DEPENDENT Robust stabilization Linear matrix inequality(LMI)
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Observer design and output feedback stabilization for linear singular time-delay systems with unknown inputs 被引量:4
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作者 Peng CUI Chenghui ZHANG 《控制理论与应用(英文版)》 EI 2008年第2期177-183,共7页
The design of a functional observer and reduced-order observer with internal delay for linear singular timedelay systems with unknown inputs is discussed. The sufficient conditions of the existence of observers, which... The design of a functional observer and reduced-order observer with internal delay for linear singular timedelay systems with unknown inputs is discussed. The sufficient conditions of the existence of observers, which are normal linear time-delay systems, and the corresponding design steps are presented via linear matrix inequality(LMI). Moreover, the observer-based feedback stabilizing controller is obtained. Three examples are given to show the effectiveness of the proposed methods. 展开更多
关键词 singular time-delay systems Functional observer Reduced-order observer Output feedback stabilization Linear matrix inequality(LMI)
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Robust stability and stabilization for uncertain discrete-time switched singular systems with time-varying delays 被引量:2
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作者 Jinxing Lin Shumin Fei Jiong Shen 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2010年第4期650-657,共8页
The problems of robust stability and stabilization via memoryless state feedback for a class of discrete-time switched singular systems with time-varying delays and linear fractional uncertainties are investigated.By ... The problems of robust stability and stabilization via memoryless state feedback for a class of discrete-time switched singular systems with time-varying delays and linear fractional uncertainties are investigated.By constructing a novel switched Lyapunov-Krasovskii functional,a delay-dependent criterion for the unforced system to be regular,causal and uniformly asymptotically stable is established in terms of linear matrix inequalities(LMIs).An explicit expression for the desired memoryless state feedback stabilization controller is also given.The merits of the proposed criteria lie in their less conservativeness and relative simplicity,which are achieved by considering additionally useful terms(ignored in previous methods) when estimating the upper bound of the forward difference of the Lyapunov-Krasovskii functional and by avoiding utilizing any model augmentation transformation.Some numerical examples are provided to illustrate the validity of the proposed methods. 展开更多
关键词 discrete-time switched singular system time-varying delay delay-dependent criterion switched Lyapunov-Krasovskii functional robust stability stabilization.
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