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Estimate pose deviation of on-orbit deployable mechanisms based on cross-ratio invariability 被引量:1
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作者 Peiran ZHANG Fuqiang ZHOU +2 位作者 Zhipeng SONG Wentao GUO Haishu TAN 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2024年第10期483-492,共10页
With the rapid development of space science projects,large deployable mechanisms have been widely used.However,due to the effects of mechanical friction and gravitational acceleration,on-orbit mechanisms cannot be alw... With the rapid development of space science projects,large deployable mechanisms have been widely used.However,due to the effects of mechanical friction and gravitational acceleration,on-orbit mechanisms cannot be always deployed to the expected pose.For some precision optical mechanisms,even a minor deviation can result in significant error,so it needs to be measured and corrected.In this paper,the deployment process was modeled and simplified as rotation under single-rotation-axis constraint and translation under single-direction constraint.To solve the problem,a method based on cross-ratio invariability was proposed.The proposed method does not rely on camera calibration techniques,as well as artificial marking points,both of which are necessary in PnP.Instead,only three calibration images before launch and a measurement image on orbit were required.Simulations and experiments demonstrated that the proposed method is more accurate than PnP.In addition,experiments also proved that the feasibility of the proposed method under dark conditions with the aid of a light source and some reflective marking points. 展开更多
关键词 Cross-ratio invariability Deployable mechanism Pose deviation estimation Single-DOF constraint Vision measurement
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Frequency invariability of acoustic field and passive source range estimation in shallow water 被引量:11
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作者 ZHOU ShiHong QI YuBo REN Yun 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2014年第2期225-232,共8页
The frequency invariability of the warped modal signal and the warped signal autocorrelation function in shallow water is discussed.A method is proposed for passive source-range estimation based on the frequency invar... The frequency invariability of the warped modal signal and the warped signal autocorrelation function in shallow water is discussed.A method is proposed for passive source-range estimation based on the frequency invariability and warping transform of signal autocorrelation function received by a single hydrophone in a range-independent or weak range-dependent shallow water environment.In the method,a guided source with a known range is employed to provide the crucial and relative invariant scaled features.The experimental data in shallow water with an iso-speed profile and a fluctuated thermocline are used to verify this approach.The relative errors of the source range estimation are basically less than 10%. 展开更多
关键词 frequency invariability warping transform autocorrelation function passive range estimation single hydrophone
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Equi-invariability,bounded invariance complexity and L-stability for control systems
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作者 Xing-fu Zhong Zhi-jing Chen Yu Huang 《Science China Mathematics》 SCIE CSCD 2021年第10期2275-2294,共20页
In this paper,we introduce the notions of bounded invariance complexity,bounded invariance complexity in the mean and mean Lyapunov-stability for control systems.Then we characterize these notions by introducing six t... In this paper,we introduce the notions of bounded invariance complexity,bounded invariance complexity in the mean and mean Lyapunov-stability for control systems.Then we characterize these notions by introducing six types of equi-invariability.As a by-product,two new dichotomy theorems for the control system on the control sets are established. 展开更多
关键词 equi-invariability invariance complexity dichotomy theorem control set invariance entropy
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Γ^(0)(2)MODULAR FORMS AND ANOMALY CANCELLATION FORMULAS
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作者 Siyao LIU Yong WANG 《Acta Mathematica Scientia》 2026年第1期119-130,共12页
In the references[4,11,12],the authors gave some modular forms overΓ^(0)(2).In this note,we proceed with the study of cancellation formulas relating to the modular forms.
关键词 modular invariance cancellation formulas (a b)type cancellation formulas
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Immunoregulatory Subpopulations of iNKT Cells and Myeloid-Derived Suppressor Cells in Chronic Lymphocytic Leukemia:Implications for Disease Progression and Immune Evasion
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作者 Przemysław Piwowarczyk Justyna Woś +4 位作者 Agata Szymańska Sylwia Chocholska Waldemar Tomczak Jacek Roliński Agnieszka Bojarska-Junak 《BIOCELL》 2026年第2期224-243,共20页
Objectives Chronic lymphocytic leukemia(CLL)is characterized by progressive immune dysregulation.Invariant natural killer T(iNKT)cells support immune surveillance,but the clinical relevance of their regulatory subsets... Objectives Chronic lymphocytic leukemia(CLL)is characterized by progressive immune dysregulation.Invariant natural killer T(iNKT)cells support immune surveillance,but the clinical relevance of their regulatory subsets remains unclear.FoxP3+regulatory iNKT cells(iNKTreg)and E4BP4+IL-10+(iNKT10)cells may reflect immunoregulatory changes associated with disease progression.The study aimed to quantify circulating iNKTreg and iNKT10 subsets and monocytic myeloid-derived suppressor cells(M-MDSCs)in treatment-naïve CLL patients and evaluate their associations with disease characteristics and time to first treatment(TTFT).Methods Peripheral blood samples from 60 untreated CLL patients and 20 healthy donors were analyzed by flow cytometry to determine iNKTreg and iNKT10 percentages,as well as indoleamine 2,3-dioxygenase(IDO)-expressing M-MDSCs.Receiver operating characteristic(ROC)curves and Cox proportional hazards models were used to assess prognostic significance.Results iNKTreg and iNKT10 percentages were significantly increased in CLL compared with healthy donors(p=0.002).Elevated iNKTreg frequencies were associated with zeta-chain-associated protein of 70 kD(ZAP-70)positivity(p=0.017),CD38 positivity(p=0.048),and treatment requirement during follow-up(p=0.016).Based on an ROC-derived cut-off of 9.6%(AUC=0.753),patients with iNKTreg≥9.6%had shorter TTFT(hazard ratio[HR]=2.71;95%confidence interval[CI],1.13–6.49;p=0.025),although the association was not retained in multivariate analysis(HR=1.27;95%CI,0.44–3.64;p=0.626).iNKTreg and iNKT10 percentages correlated positively with IDO+M-MDSCs(p=0.035 and p=0.044),but not with arginase-1(ARG1)or inducible nitric oxide synthase(NOS2).Conclusion Elevated iNKTreg levels reflect a more aggressive disease phenotype and associate with shorter TTFT in univariate analysis,supporting their exploration as complementary immunological biomarkers in CLL.Functional studies and validation in larger cohorts are needed to determine their prognostic and biological significance. 展开更多
关键词 Invariant natural killer T(iNKT) iNKT10 iNKTreg chronic lymphocytic leukemia(CLL) myeloid-derived suppressor cell(MDsC)
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Advancements and Challenges of Gamma Delta(γδ)T Cell-and Invariant Natural Killer T(iNKT)Cell-Based Cancer Immunotherapies
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作者 Kawaljit Kaur 《BIOCELL》 2026年第2期43-66,共24页
Gamma delta(γδ)T cells and invariant natural killer T(iNKT)cells are unconventional T cells with limited T cell receptor(TCR)diversity.Both can recognize lipid or non-peptide antigens,often through cluster of differ... Gamma delta(γδ)T cells and invariant natural killer T(iNKT)cells are unconventional T cells with limited T cell receptor(TCR)diversity.Both can recognize lipid or non-peptide antigens,often through cluster of differentiation 1d(CD1d),rapidly produce cytokines,express natural killer(NK)cell markers,and are mainly found in mucosal and barrier tissues.Acting as a bridge between innate and adaptive immunity,they show great promise for cancer immunotherapy.DevelopingγδT and iNKT cells for treatment involves shared features like thymic origin,MHC-independent recognition,rapid cytotoxicity,low graft-vs.-host disease(GvHD)risk,ex vivo expansion,and genetic modification,making them suitable for adoptive cell therapies.While their mechanisms are similar,iNKT cells rely on CD1d-mediated antigen presentation,provided by CD1d-expressing antigen-presenting cells(APCs)or engineered cell lines,to activate their invariant TCR and expand effectively.Chimeric antigen receptors(CAR)-induced functional activations make these cell types viable alternatives to conventional cell-based or CAR-T therapies with additional safety benefits.Early clinical trials have shown encouraging results,and their completion will confirm their potential for future treatments.This review explores the biology and mechanisms ofγδT and iNKT cells,focusing on how APCs,cytokines,feeder cells,and CARs contribute to boosting their cytotoxic function,cytokine production,and expansion,enhancing their promise as cancer immunotherapies.It also explores the advancements and challenges in developingγδT and iNKT cell-based immunotherapies,with preclinical and early clinical outcomes offering promising insights. 展开更多
关键词 Gamma delta(γδ)T cells invariant natural killer T(iNKT)cells immunotherapy CANCER feeder cells K562 cluster of differentiation 1d(CD1d)molecule
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A Fast Algorithm for Solving the Poisson Equations Based on the Discrete Cosine/Sine Transforms in the Finite Difference Method
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作者 LI Congcong WANG Danxia +1 位作者 JIA Hongen ZHANG Chenhui 《应用数学》 北大核心 2025年第3期651-669,共19页
To enhance the computational efficiency of spatio-temporally discretized phase-field models,we present a high-speed solver specifically designed for the Poisson equations,a component frequently used in the numerical c... To enhance the computational efficiency of spatio-temporally discretized phase-field models,we present a high-speed solver specifically designed for the Poisson equations,a component frequently used in the numerical computation of such models.This efficient solver employs algorithms based on discrete cosine transformations(DCT)or discrete sine transformations(DST)and is not restricted by any spatio-temporal schemes.Our proposed methodology is appropriate for a variety of phase-field models and is especially efficient when combined with flow field systems.Meanwhile,this study has conducted an extensive numerical comparison and found that employing DCT and DST techniques not only yields results comparable to those obtained via the Multigrid(MG)method,a conventional approach used in the resolution of the Poisson equations,but also enhances computational efficiency by over 90%. 展开更多
关键词 Phase-field model Finite difference method Fast Poisson solver(DC-T/DST) Explicit invariant energy quadratization Unconditional energy stability
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Consequences of Invariant Functions for the Riemann Hypothesis
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作者 Michael Mark Anthony 《Advances in Pure Mathematics》 2025年第1期36-72,共37页
This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specific... This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specifically the Robin inequality and the Riemann hypothesis. The exploration of using invariant properties of these functions to derive insights into twin primes and sequential primes is a potentially innovative concept that deserves careful consideration by the mathematical community. 展开更多
关键词 LambertW Function Principal Branch Riemann Hypothesis ITERATIONS Robin Inequality Robin Integers INVARIANCE Gauss Gamma Function Li-Function Prime Counting Function Sums of Divisors INVARIANCE PRIMES Twin Primes
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TransSSA: Invariant Cue Perceptual Feature Focused Learning for Dynamic Fruit Target Detection
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作者 Jianyin Tang Zhenglin Yu Changshun Shao 《Computers, Materials & Continua》 2025年第5期2829-2850,共22页
In the field of automated fruit harvesting,precise and efficient fruit target recognition and localization play a pivotal role in enhancing the efficiency of harvesting robots.However,this domain faces two core challe... In the field of automated fruit harvesting,precise and efficient fruit target recognition and localization play a pivotal role in enhancing the efficiency of harvesting robots.However,this domain faces two core challenges:firstly,the dynamic nature of the automatic picking process requires fruit target detection algorithms to adapt to multi-view characteristics,ensuring effective recognition of the same fruit from different perspectives.Secondly,fruits in natural environments often suffer from interference factors such as overlapping,occlusion,and illumination fluctuations,which increase the difficulty of image capture and recognition.To address these challenges,this study conducted an in-depth analysis of the key features in fruit recognition and discovered that the stem,body,and base serve as constant and core information in fruit identification,exhibiting long-term dependent semantic relationships during the recognition process.These invariant features provide a stable foundation for dynamic fruit recognition,contributing to improved recognition accuracy and robustness.Specifically,the morphology and position of the stem,body,and base are relatively fixed,and the effective extraction of these features plays a crucial role in fruit recognition.This paper proposes a novel model,TransSSA,and designs two innovative modules to effectively extract fruit image features.The Self-Attention Core Feature Extraction(SAF)module integrates YOLOV8 and Swin Transformer as backbone networks and introduces the Shuffle Attention self-attention mechanism,significantly enhancing the ability to extract core features.This module focuses on constant features such as the stem,body,and base,ensuring accurate fruit recognition in different environments.On the other hand,the Squeeze and Excitation Aggregation(SAE)module combines the network’s ability to capture channel patterns with global knowledge,further optimizing the extraction of effective features.Additionally,to improve detection accuracy,this studymodifies the regression loss function to EIOU.To validate the effectiveness of the TransSSA model,this study conducted extensive visualization analysis to support the interpretability of the SAF and SAE modules.Experimental results demonstrate that TransSSA achieves a performance of 91.3%on a tomato dataset,fully proving its innovative capabilities.Through this research,we provide amore effective solution for using fruit harvesting robots in complex environments. 展开更多
关键词 Fruit recognition invariant features TransSSA model swin transformer self-attention mechanism
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Integrated Application Research on Marine Image Recognition Models
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作者 Chih-Chen Kao Yu-Fen Peng Bo-Wen Wu 《Sustainable Marine Structures》 2025年第2期38-44,共7页
Marine environments present significant challenges for image processing due to factors such as low light intensity,suspended particles,and varying degrees of water turbidity.These conditions severely degrade the clari... Marine environments present significant challenges for image processing due to factors such as low light intensity,suspended particles,and varying degrees of water turbidity.These conditions severely degrade the clarity and quality of captured marine images,making accurate image recognition difficult.The problem is further compounded by the limited availability of high-quality,labeled training samples,which restricts the effectiveness of conventional recognition algorithms.Existing techniques in both academic and industrial settings—such as Principal Component Analysis(PCA),Neural Networks,and Wavelet Transforms—typically involve converting color images to grayscale prior to feature extraction.While this simplifies processing,it also results in the loss of essential color information,which is often critical for distinguishing features in marine imagery.To address these issues,this paper proposes a novel approach that preserves and utilizes the full color information of marine images during processing and recognition.The method combines color image representation with Hu's invariant moments to extract stable and rotation-invariant features.These features are then input into a Back Propagation Neural Network(BPNN),which is trained to recognize and classify various marine targets.The integration of color-based feature extraction with BPNN significantly improves recognition performance,particularly under complex environmental conditions.Experimental results show that the proposed system achieves a recognition accuracy exceeding 98%,demonstrating its effectiveness and potential for practical applications in marine exploration,environmental monitoring,and underwater robotics. 展开更多
关键词 Marine Image Color Preprocessing Pattern Recognition BPNN Invariant Moments
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Scale-invariant 3D face recognition using computer-generated holograms and the Mellin transform
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作者 Yongwei Yao Yaping Zhang +3 位作者 Huanrong He Xianfeng David Gu Daping Chu Ting-Chung Poon 《Opto-Electronic Advances》 2025年第11期43-55,共13页
We present a novel method for scale-invariant 3D face recognition by integrating computer-generated holography with the Mellin transform.This approach leverages the scale-invariance property of the Mellin transform to... We present a novel method for scale-invariant 3D face recognition by integrating computer-generated holography with the Mellin transform.This approach leverages the scale-invariance property of the Mellin transform to address challenges related to variations in 3D facial sizes during recognition.By applying the Mellin transform to computer-generated holograms and performing correlation between them,which,to the best of our knowledge,is being done for the first time,we have developed a robust recognition framework capable of managing significant scale variations without compromising recognition accuracy.Digital holograms of 3D faces are generated from a face database,and the Mellin transform is employed to enable robust recognition across scale factors ranging from 0.4 to 2.0.Within this range,the method achieves 100%recognition accuracy,as confirmed by both simulation-based and hybrid optical/digital experimental validations.Numerical calculations demonstrate that our method significantly enhances the accuracy and reliability of 3D face recognition,as evidenced by the sharp correlation peaks and higher peak-to-noise ratio(PNR)values than that of using conventional holograms without the Mellin transform.Additionally,the hybrid optical/digital joint transform correlation hardware further validates the method's effectiveness,demonstrating its capability to accurately identify and distinguish 3D faces at various scales.This work provides a promising solution for advanced biometric systems,especially for those which require 3D scale-invariant recognition. 展开更多
关键词 3D face recognition computer-generate holography Mellin transform scale invariance BIOMETRICS
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THE GLOBAL DYNAMICS OF A 3-DIMENSIONAL DIFFERENTIAL SYSTEM IN R^(3) VIA A DARBOUX INVARIANT
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作者 Jaume LLIBRE Claudia VALLS 《Acta Mathematica Scientia》 2025年第2期338-346,共9页
The differential system ẋ=ax−yz,ẏ=−by+xz,ż=−cz+x^(2),where a,b and c are positive real parameters,has been studied numerically due to the big variety of strange attractors that it can exhibit.This system has a Darboux... The differential system ẋ=ax−yz,ẏ=−by+xz,ż=−cz+x^(2),where a,b and c are positive real parameters,has been studied numerically due to the big variety of strange attractors that it can exhibit.This system has a Darboux invariant when c=2b.Using this invariant and the Poincarécompactification technique we describe analytically its global dynamics. 展开更多
关键词 INVARIANT Poincare ball Poincarédisc w-limit Q-limit differential system in R^(3)
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Fast,Safe and Robust Motion Planning for Autonomous Vehicles Based on Robust Control Invariant Tubes
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作者 Mingzhuo Zhao Tong Shen +1 位作者 Fanxun Wang Guodong Yin 《Chinese Journal of Mechanical Engineering》 2025年第2期326-343,共18页
This paper tackles uncertainties between planning and actual models.It extends the concept of RCI(robust control invariant)tubes,originally a parameterized representation of closed-loop control robustness in tradition... This paper tackles uncertainties between planning and actual models.It extends the concept of RCI(robust control invariant)tubes,originally a parameterized representation of closed-loop control robustness in traditional feedback control,to the domain of motion planning for autonomous vehicles.Thus,closed-loop system uncertainty can be preemptively addressed during vehicle motion planning.This involves selecting collision-free trajectories to minimize the volume of robust invariant tubes.Furthermore,constraints on state and control variables are translated into constraints on the RCI tubes of the closed-loop system,ensuring that motion planning produces a safe and optimal trajectory while maintaining flexibility,rather than solely optimizing for the open-loop nominal model.Additionally,to expedite the solving process,we were inspired by L2gain to parameterize the RCI tubes and developed a parameterized explicit iterative expression for propagating ellipsoidal uncertainty sets within closedloop systems.Furthermore,we applied the pseudospectral orthogonal collocation method to parameterize the optimization problem of transcribing trajectories using high-order Lagrangian polynomials.Finally,under various operating conditions,we incorporate both the kinematic and dynamic models of the vehicle and also conduct simulations and analyses of uncertainties such as heading angle measurement,chassis response,and steering hysteresis.Our proposed robust motion planning framework has been validated to effectively address nearly all bounded uncertainties while anticipating potential tracking errors in control during the planning phase.This ensures fast,closed-loop safety and robustness in vehicle motion planning. 展开更多
关键词 Motion planning Vehicle dynamics Robust control invariant tubes Autonomous driving Robust control Trajectory optimization
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Distributional scalar curvature and Einstein metrics
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作者 ZHANG Huai-yu ZHANG Jiang-wei 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第2期458-479,共22页
In this paper,we study scalar curvature rigidity of non-smooth metrics on smooth manifolds with non-positive Yamabe invariant.We prove that if the scalar curvature is not less than the Yamabe invariant in the distribu... In this paper,we study scalar curvature rigidity of non-smooth metrics on smooth manifolds with non-positive Yamabe invariant.We prove that if the scalar curvature is not less than the Yamabe invariant in the distributional sense,then the manifold must be isometric to an Einstein manifold.This result extends Theorem 1.4 in Jiang,Sheng and Zhang[27],from a special case where the manifolds have zero Yamabe invariant to general cases where the manifolds have non-positive Yamabe invariant. 展开更多
关键词 scalar curvature Einstein metric Yamabe invariant
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Topological states constructed by two different trivial quantum wires
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作者 Jing-Run Lin Linxi Lv Zheng-Wei Zuo 《Chinese Physics B》 2025年第1期246-255,共10页
The topological states of the two-leg and three-leg ladders formed by two trivial quantum wires with different lattice constants are theoretically investigated. Firstly, we take two trivial quantum wires with a lattic... The topological states of the two-leg and three-leg ladders formed by two trivial quantum wires with different lattice constants are theoretically investigated. Firstly, we take two trivial quantum wires with a lattice constant ratio of 1:2 as an example. For the symmetric nearest-neighbor intra-chain hopping two-leg ladder, the inversion symmetry protected topological insulator phase with two degenerate topological edge states appears. When the inversion symmetry is broken, the topological insulators with one or two topological edge states of different energies and topological metals with edge states embedded in the bulk states could emerge depending on the filling factor. The topological origin of these topological states in the two-leg ladders is the topological properties of the Chern insulators and Chern metals. According to the arrangement of two trivial quantum wires, we construct two types of three-leg ladders. Each type of the three-leg ladder could be divided into one trivial subspace and one topological nontrivial subspace by unitary transformation. The topological nontrivial subspace corresponds to the effective two-leg ladder model. As the filling factor changes, the system could be in topological insulators or topological metals phases. When the two-leg ladder is constructed by two trivial quantum wires with a lattice constant ratio of 1:3 and 2:3, the system could also realize rich topological states such as the topological insulators and topological metals with the topological edge states. These rich topological states in the two-leg and three-leg ladders could be confirmed by current experimental techniques. 展开更多
关键词 trivial quantum wire topological invariant inversion symmetric topological insulator Chern metal
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On the stability criteria for constrained switched linear systems with multiple faults
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作者 Tianyu Tan Kunwu Zhang +2 位作者 Keyong Shao Songlin Zhuang Yang Shi 《Journal of Automation and Intelligence》 2025年第3期185-197,共13页
Switched systems play an imperative role in modeling many real industrial systems with abrupt changes.Due to possible exposure to unreliable and complex physical environments,switching dynamics may simultaneously face... Switched systems play an imperative role in modeling many real industrial systems with abrupt changes.Due to possible exposure to unreliable and complex physical environments,switching dynamics may simultaneously face multiple faults,including the unexpected controller disconnect,the temporary mismatch between subsystems and desired corresponding controllers,and the intermittent disordering of mode transitions.These commonly arising faults may result in severe and detrimental impacts on the reliability and convergence of the closed-loop solution,thereby bringing significant yet challenging issues to be tackled.This paper provides the first attempt to investigate the stabilization problem for a class of constrained switched linear systems with multiple faults under mode-dependent dwell time(MDT).From a set-theory perspective,we demonstrate a critical necessary and sufficient stability condition for switched systems without uncertainties.Moreover,the non-conservative stability criterion is further extended to the perturbed switched systems with rigorous proof.A switching communication network example verifies the validity of the theoretical result and demonstrates their advantages. 展开更多
关键词 Necessary and sufficient stability Constrained switched systems Fault-tolerant control Set invariance Robustness Mode-dependent dwell time
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Global Diabatic Potential Energy Surfaces for the Two Lowest States of Li_(3)
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作者 Yingyue Hong Jiayu Huang Dong H.Zhang 《Chinese Journal of Chemical Physics》 2025年第2期172-180,I0039,共10页
We constructed a new set of diabatic poten-tial energy surfaces(PESs)for the two low-est states involved in Li+Li_(2)reaction by us-ing the fundamental-invariant neural net-work method.The Li_(3)system exhibits a coni... We constructed a new set of diabatic poten-tial energy surfaces(PESs)for the two low-est states involved in Li+Li_(2)reaction by us-ing the fundamental-invariant neural net-work method.The Li_(3)system exhibits a coni-cal intersection(CI)at the geometric D_(3)h symmetries with the energy of the CI point significantly lower than the ground-state en-ab initio ergy of the diatomic molecule.The diabaitc PESs accurately reproduce adiabatic en-ergies,derivative coupling,and energy gradient information,thereby providing a high-fideli-ty description of the CI between the two lowest electronic states.Quantum dynamical calcu-lations have revealed significant non-adiabatic effects in the Li+Li_(2)reaction. 展开更多
关键词 Diabatic potential energy matrix Conical intersection Fundamental invariant neural network Non-adiabatic effect
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POLYNOMIAL MIXING FOR A WEAKLY DAMPED STOCHASTIC NONLINEAR SCHRÖDINGER EQUATION
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作者 Jing GUO Zhenxin LIU 《Acta Mathematica Scientia》 2025年第5期2029-2059,共31页
This paper is devoted to proving the polynomial mixing for a weakly damped stochastic nonlinear Schröodinger equation with additive noise on a 1D bounded domain.The noise is white in time and smooth in space.We c... This paper is devoted to proving the polynomial mixing for a weakly damped stochastic nonlinear Schröodinger equation with additive noise on a 1D bounded domain.The noise is white in time and smooth in space.We consider both focusing and defocusing nonlinearities,with exponents of the nonlinearityσ∈[0,2)andσ∈[0,∞),and prove the polynomial mixing which implies the uniqueness of the invariant measure by using a coupling method.In the focusing case,our result generalizes the earlier results in[12],whereσ=1. 展开更多
关键词 stochastic damped nonlinear Schrodinger equation uniqueness of invariant mea-sure polynomial mixing coupling Girsanov theorem
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Perspectives for Hyperon and Hypernuclei Physics
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作者 Jin-Hui Chen Li-Sheng Geng +2 位作者 Emiko Hiyama Zhi-Wei Liu Josef Pochodzalla 《Chinese Physics Letters》 2025年第10期18-27,共10页
Hypernuclei,nuclei containing one or more hyperons,serve as unique laboratories for probing the non-perturbative quantum chromodynamics(QCD).Recent progress in hypernuclear physics,driven by advanced experimental tech... Hypernuclei,nuclei containing one or more hyperons,serve as unique laboratories for probing the non-perturbative quantum chromodynamics(QCD).Recent progress in hypernuclear physics,driven by advanced experimental techniques and theoretical innovations,is briefly reviewed with a focus on key findings and unresolved challenges,such as the precise determination of the hypertriton binding energy,investigations of charge symmetry breaking in mirror hypernuclei,and the search for exotic systems,including the neutral nnΛstate.Experimental breakthroughs,including invariant-mass analyses and femtoscopy studies in heavy-ion collisions,as well as high-resolutionγ-spectroscopy,have enabled precise studies of light hypernuclei and offered critical insights into the hyperon–nucleon interaction.Theoretical progress,including ab initio calculations based on chiral effective field theory and lattice QCD,has further enhanced our understanding of hyperon–nucleon and hyperon–hyperon interactions. 展开更多
关键词 quantum chromodynamics HYPERNUCLEI invariant mass analyses search exotic systemsincluding charge symmetry breaking hypertriton binding energyinvestigations HYPERON advanced experimental techniques
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ERGODICITY AND WEAK CONVERGENCE OF TRANSITION PROBABILITIES FOR THE 2D PRIMITIVE EQUATIONS WITH MULTIPLICATIVE NOISE
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作者 Jintao LI Hongjun GAO 《Acta Mathematica Scientia》 2025年第6期2354-2390,共37页
This paper investigates the ergodicity and weak convergence of transition probabilities for two-dimensional stochastic primitive equations driven by multiplicative noise.The existence of invariant measures is establis... This paper investigates the ergodicity and weak convergence of transition probabilities for two-dimensional stochastic primitive equations driven by multiplicative noise.The existence of invariant measures is established using the classical Krylov-Bogoliubov theory.The uniqueness of invariant measures and the weak convergence of transition probabilities are demonstrated through the application of the asymptotic coupling method and Foias-Prodi estimate. 展开更多
关键词 stochastic primitive equations invariant measure ERGODICITY weak convergence of the transition probabilities asymptotic coupling method Foias-Prodi estimate
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