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An Improved Upper Bound on the Linear 2-arboricity of 1-planar Graphs 被引量:3
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作者 Juan LIU Yi Qiao WANG +2 位作者 Ping WANG Lu ZHANG Wei Fan WANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2021年第2期262-278,共17页
The linear 2-arboricity la2(G) of a graph G is the least integer k such that G can be partitioned into k edge-disjoint forests,whose component trees are paths of length at most 2.In this paper,we prove that if G is a ... The linear 2-arboricity la2(G) of a graph G is the least integer k such that G can be partitioned into k edge-disjoint forests,whose component trees are paths of length at most 2.In this paper,we prove that if G is a 1-planar graph with maximum degree Δ,then la_(2)(G)≤[(Δ+1)/2]+7.This improves a known result of Liu et al.(2019) that every 1-planar graph G has la_(2)(G)≤[(Δ+1)/2]+14.We also observe that there exists a 7-regular 1-planar graph G such that la2(G)=6=[(Δ+1)/2]+2,which implies that our solution is within 6 from optimal. 展开更多
关键词 1-planar graph linear 2-arboricity edge-partition maximum degree
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Breaking the linear scaling relationship in BN-supported metal catalysts for efficient CO_(2)RR towards C1 and C2 products
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作者 Dongyue Gao Li Ma +6 位作者 Yongli Yang Zhe Liu Yadong Yu Yi Fang Yang Huang Chengchun Tang Zhonglu Guo 《Journal of Materials Science & Technology》 2025年第21期172-182,共11页
The catalytic activity and selectivity of CO_(2)reduction reaction(CO_(2)RR)towards C1 and C2 products are fundamentally restricted by the inherent linear scaling relationship among the adsorption-free energies of int... The catalytic activity and selectivity of CO_(2)reduction reaction(CO_(2)RR)towards C1 and C2 products are fundamentally restricted by the inherent linear scaling relationship among the adsorption-free energies of intermediates.To face this challenge,we have proposed a novel multifunctional M1M2@BN electrocatalysts to break the linear scaling relationships in CO_(2)RR and efficiently obtain C1 and C2 products.Our results reveal that the optimal limiting potential is increased from−0.58 V for M@BN to−0.39 V for M1M2@BN,which achieves ultrahigh activity of CO_(2)RR.Further mechanism analysis illuminates that M1M2@BN can selectivity modulate the adsorption strength of OCHO*and OCH_(2)O*/OCHOH*,breaking the linear scaling relationship of adsorption-free energies of key intermediates to achieve the enhanced catalytic activity.Notably,the sufficient active sites on M_(1)M_(2)@BN electrocatalysts can promote the sluggish C–C coupling by capturing two CO intermediates simultaneously,further generating high-value multi-carbon(CH_(2)CH_(2)OH)products.Meanwhile,the thermodynamic stability of M1M2@BN has been demonstrated by ab initio molecular dynamics(AIMD)simulations,which shows the feasibility of commercial application in CO_(2)RR.Our findings provide a novel strategy to modulate the binding strength of intermediates and develop the design of efficient multi-active-site CO_(2)RR electrocatalysts. 展开更多
关键词 BN Bimetallic atoms CO_(2)RR linear scaling relationship C2 product
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PROPER SPLITTINGS FOR RESTRICTED LINEAR EQUATIONS AND THE GENERALIZED INVERSE A_(T,S)~2 被引量:2
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作者 王国荣 魏益民 《Numerical Mathematics A Journal of Chinese Universities(English Series)》 SCIE 1998年第1期1-13,共13页
This paper presents a proper splitting iterative method for comparing the general restricted linear euqations Ax=b, x ∈T (where, b ∈AT, and T is an arbitrary but fixed subspace of C<sup>m</sup>) and th... This paper presents a proper splitting iterative method for comparing the general restricted linear euqations Ax=b, x ∈T (where, b ∈AT, and T is an arbitrary but fixed subspace of C<sup>m</sup>) and the generalized in A<sub>T,S</sub> For the special case when b ∈AT and dim(T)=dim(AT), this splitting iterative methverse A<sub>T,S</sub> hod converges to A<sub>T,S</sub>b (the unique solution of the general restricted system Ax=bx ∈T). 展开更多
关键词 PROPER SPLITTING RESTRICTED linear equations the generalized inverse A2T S.
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2-Walk Linear Graphs with Small Number of Cycles 被引量:1
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作者 FAN Qiong QI Huan 《Wuhan University Journal of Natural Sciences》 CAS 2010年第5期375-379,共5页
A graph has exactly two main eigenvalues if and only if it is a 2-walk linear graph.In this paper,we show some necessary conditions that a 2-walk(a,b)-linear graph must obey.Using these conditions and some basic the... A graph has exactly two main eigenvalues if and only if it is a 2-walk linear graph.In this paper,we show some necessary conditions that a 2-walk(a,b)-linear graph must obey.Using these conditions and some basic theorems in graph theory,we characterize all 2-walk linear graphs with small cyclic graphs without pendants.The results are given in sort on unicyclic,bicyclic,tricyclic graphs. 展开更多
关键词 2-walk linear graphs unicyclic graphs bicyclic graphs tricyclic graphs
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Nafion/SiO_2 Nanocomposites:High Potential Catalysts for Alkylation of Benzene with Linear C_9-C_(13) Alkenes 被引量:1
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作者 HaiWANG MingHanHAN 《Chinese Chemical Letters》 SCIE CAS CSCD 2002年第11期1121-1124,共4页
High surface area Nafion/SiO2 nanocomposites with nano-sized Nafion resin particles entrapped and dispersed within the highly porous silica matrix exhibited significantly enhanced activity, high selectivity and long-t... High surface area Nafion/SiO2 nanocomposites with nano-sized Nafion resin particles entrapped and dispersed within the highly porous silica matrix exhibited significantly enhanced activity, high selectivity and long-term stability for the alkylation of benzene with linear C9-C13 alkenes owing to the increased accessibility of Nafion resin-based acid sites to reactants. 展开更多
关键词 Nafion/SiO2 nanocomposites Friedel-Crafts alkylation linear alkylbenzenes.
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Oneε-Ga_(2)O_(3)-based solar-blind Schottky photodetector emphasizing high photocurrent gain and photocurrent-intensity linearity 被引量:1
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作者 安跃华 高震森 +3 位作者 郭雨 张少辉 刘增 唐为华 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第5期158-163,共6页
Theε-Ga_(2)O_(3) thin film was grown on sapphire substrate by using metalorganic chemical vapor deposition(MOCVD)method,and then was used to fabricate a deep-ultraviolet(DUV)photodetector(PD).Theε-Ga_(2)O_(3) thin f... Theε-Ga_(2)O_(3) thin film was grown on sapphire substrate by using metalorganic chemical vapor deposition(MOCVD)method,and then was used to fabricate a deep-ultraviolet(DUV)photodetector(PD).Theε-Ga_(2)O_(3) thin film shown good crystal quality and decent surface morphology.Irradiated by a 254-nm DUV light,the photodetector displayed good optoelectronic performance and high wavelength selectivity,such as photoresponsivity(R)of 175.69 A/W,detectivity(D*)of 2.46×10^(15) Jones,external quantum efficiency(EQE)of 8.6×10^(4)%and good photocurrent-intensity linearity,suggesting decent DUV photosensing performance.At 5 V and under illumination with light intensity of 800μW/cm2,the photocurrent gain is as high as 859 owing to the recycling gain mechanism and delayed carrier recombination;and the photocurrent gain decreases as the incident light intensity increases because of the recombination of photogenerated carriers by the large photon flux. 展开更多
关键词 metastable Ga_(2)O_(3) photocurrent gain linearITY DUV detection
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Some Structural Properties of 2-Walk (a, b)-Linear Graphs
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作者 FAN Qiong QI Huan 《Wuhan University Journal of Natural Sciences》 CAS 2012年第5期457-460,共4页
A graph has exactly two main eigenvalues if and only if it is a 2-walk linear graph. In this paper, we show some structural properties that a 2-walk (a, b)-linear graph holds. According to these properties, we can e... A graph has exactly two main eigenvalues if and only if it is a 2-walk linear graph. In this paper, we show some structural properties that a 2-walk (a, b)-linear graph holds. According to these properties, we can estimate and characterize more 2-walk linear graphs that have exactly two main eigenvalues. 展开更多
关键词 main eigenvalues 2-walk linear graph PATH CYCLE
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Statistical x^2 Testing Based Fault Detection for Linear Discrete Time-delay Systems 被引量:2
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作者 LIU Bo-Ang YE Hao 《自动化学报》 EI CSCD 北大核心 2014年第7期1278-1284,共7页
关键词 离散时滞系统 检验统计量 故障检测 线性 评价函数 随机系统 LDTV 黎卡提
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Controllability and Observability of 2-DOF Permanent Magnet Maglev System with Linear Control
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作者 CUITian-shi OKakoichi DONGGui-ju 《Journal of Northeast Agricultural University(English Edition)》 CAS 2005年第1期79-82,共4页
A new type of 2-DOF(degree of freedom) magnetic levitation system for multi-DOF levitation is proposed. In this system, the force of permanent magnets are used for levitation and controlled by adjusting the reluctance... A new type of 2-DOF(degree of freedom) magnetic levitation system for multi-DOF levitation is proposed. In this system, the force of permanent magnets are used for levitation and controlled by adjusting the reluctance of the magnetic circuit. Using permanent magnets, the feature of this system is effective for saving energy and avoiding heat generation. First, the principle of the levitation system and typical reluctance control methods are described. Second, an experimental device based on the principle is introduced. Finally, the feasibility of this system is considered from linear control theory. 展开更多
关键词 permanent magnet magnetic levitation system linear control 2-DOF
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Linear-fitting-based similarity coefficient map for tissue dissimilarity analysis in T2^*-w magnetic resonance imaging
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作者 余绍德 伍世宾 +5 位作者 王浩宇 魏新华 陈鑫 潘万龙 Hu Jiani 谢耀钦 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第12期610-615,共6页
Similarity coefficient mapping(SCM) aims to improve the morphological evaluation of T*2weighted magnetic resonance imaging(T*2-w MRI). However, how to interpret the generated SCM map is still pending. Moreover, ... Similarity coefficient mapping(SCM) aims to improve the morphological evaluation of T*2weighted magnetic resonance imaging(T*2-w MRI). However, how to interpret the generated SCM map is still pending. Moreover, is it probable to extract tissue dissimilarity messages based on the theory behind SCM? The primary purpose of this paper is to address these two questions. First, the theory of SCM was interpreted from the perspective of linear fitting. Then, a term was embedded for tissue dissimilarity information. Finally, our method was validated with sixteen human brain image series from multiecho T*2-w MRI. Generated maps were investigated from signal-to-noise ratio(SNR) and perceived visual quality, and then interpreted from intra- and inter-tissue intensity. Experimental results show that both perceptibility of anatomical structures and tissue contrast are improved. More importantly, tissue similarity or dissimilarity can be quantified and cross-validated from pixel intensity analysis. This method benefits image enhancement, tissue classification, malformation detection and morphological evaluation. 展开更多
关键词 T*2-w magnetic resonance imaging similarity coefficient map linear fitting tissue dissimilarity
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DNA-assisted rational design of BaF_2 linear and erythrocyteshaped nanocrystals
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作者 Xinmei Zhao Huanhuan You Faming Gao 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2018年第7期1581-1585,共5页
The synthesis of inorganic materials with special morphologies with the assistance of biological molecules is a potential development in the field of controllable growth and assembly of nanomaterials. In this paper, B... The synthesis of inorganic materials with special morphologies with the assistance of biological molecules is a potential development in the field of controllable growth and assembly of nanomaterials. In this paper, BaF2 nanocrystals in patterns of well-defined linear and erythrocyte-shaped structure were synthesized with the assistance of Escherichia coil DNA. Morphology and the arrangement of BaF2 particles on DNA were controllable by altering the reaction condition. Square nanoparticles arranged in linear chains were gained with the assistance of normal DNA; while, erythrocyte-shaped BaF2 nanospheres were synthesized with the assistance of denatured DNA. Besides, the influences of solvent, reaction temperature, concentration of reactants and the heating time on the morphology of the BaF2 particles were studied. 展开更多
关键词 DNA-assistance BaF2 Morphology linear arranged nanoparticles Erythrocyte-shaped structure
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THE GENERALIZED HYPERSTABILITY OF GENERAL LINEAR EQUATION IN QUASI-2-BANACH SPACE
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作者 Ravinder Kumar SHARMA Sumit CHANDOK 《Acta Mathematica Scientia》 SCIE CSCD 2022年第4期1357-1372,共16页
In this paper,we study the hyperstability for the general linear equation f(ax+by)=Af(x)+Bf(y)in the setting of complete quasi-2-Banach spaces.We first extend the main fixed point result of Brzdek and Ciepliński(Acta... In this paper,we study the hyperstability for the general linear equation f(ax+by)=Af(x)+Bf(y)in the setting of complete quasi-2-Banach spaces.We first extend the main fixed point result of Brzdek and Ciepliński(Acta Mathematica Scientia,2018,38 B(2):377-390)to quasi-2-Banach spaces by defining an equivalent quasi-2-Banach space.Then we use this result to generalize the main results on the hyperstability for the general linear equation in quasi-2-Banach spaces.Our results improve and generalize many results of literature. 展开更多
关键词 HYPERSTABILITY quasi-2-Banach spaces fixed point general linear equation
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Exploration on 2D DOA Estimation of Linear Array Motion:Uniform Linear Motion
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作者 Jianhong Chu Zhi Zhang Yu Guo 《China Communications》 SCIE CSCD 2023年第11期78-95,共18页
Generally,due to the limitation of the dimension of the array aperture,linear arrays cannot achieve two-dimensional(2D)direction of arrival(DOA)estimation.But the emergence of array motion provides a chance for that.I... Generally,due to the limitation of the dimension of the array aperture,linear arrays cannot achieve two-dimensional(2D)direction of arrival(DOA)estimation.But the emergence of array motion provides a chance for that.In this paper,a generalized motion scheme and a novel method of 2D DOA estimation are proposed by exploring the linear array motion.To be specific,the linear arrays are controlled to move along an arbitrary direction at a constant velocity and snap per fixed time delay.All the received signals are processed to synthesize the comprehensive observation vector for an extended 2D virtual aperture.Subsequently,since most of 2D DOA estimation methods are not universal to our proposed motion scheme and the reduced-dimensional(RD)method fails to handle the case of the coupled parameters,a decoupled reduced-complexity multiple signals classification(DRC MUSIC)algorithm is designed specifically.Simulation results demonstrate that:a)our proposed scheme can achieve underdetermined 2D DOA estimation just by the linear arrays;b)our designed DRC MUSIC algorithm has the good properties of high accuracy and low complexity;c)our proposed motion scheme with the DRC method has better universality in the motion direction. 展开更多
关键词 2D DOA estimation linear array motion reduced complexity synthetic aperture
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Identification of Question and Non-Question Segments in Arabic Monologues Using Prosodic Features: Novel Type-2 Fuzzy Logic and Sensitivity-Based Linear Learning Approaches
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作者 Sunday Olusanya Olatunji Lahouari Cheded +1 位作者 Wasfi G. Al-Khatib Omair Khan 《Journal of Intelligent Learning Systems and Applications》 2013年第3期165-175,共11页
In this paper, we extend our previous study of addressing the important problem of automatically identifying question and non-question segments in Arabic monologues using prosodic features. We propose here two novel c... In this paper, we extend our previous study of addressing the important problem of automatically identifying question and non-question segments in Arabic monologues using prosodic features. We propose here two novel classification approaches to this problem: one based on the use of the powerful type-2 fuzzy logic systems (type-2 FLS) and the other on the use of the discriminative sensitivity-based linear learning method (SBLLM). The use of prosodic features has been used in a plethora of practical applications, including speech-related applications, such as speaker and word recognition, emotion and accent identification, topic and sentence segmentation, and text-to-speech applications. In this paper, we continue to specifically focus on the Arabic language, as other languages have received a lot of attention in this regard. Moreover, we aim to improve the performance of our previously-used techniques, of which the support vector machine (SVM) method was the best performing, by applying the two above-mentioned powerful classification approaches. The recorded continuous speech is first segmented into sentences using both energy and time duration parameters. The prosodic features are then extracted from each sentence and fed into each of the two proposed classifiers so as to classify each sentence as a Question or a Non-Question sentence. Our extensive simulation work, based on a moderately-sized database, showed the two proposed classifiers outperform SVM in all of the experiments carried out, with the type-2 FLS classifier consistently exhibiting the best performance, because of its ability to handle all forms of uncertainties. 展开更多
关键词 ARABIC Monologues Prosodic Features Type-2 FUZZY LOGIC Systems Sensitivity Based linear LearningMethod Support Vector Machines
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AC-DC Fuzzy Linear Active Disturbance Rejection Control Strategy of Front Stage of Bidirectional Converter Based on V2G
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作者 Guosheng Li Qingquan Lv +1 位作者 Zhenzhen Zhang Haiying Dong 《Energy Engineering》 EI 2023年第4期1045-1065,共21页
Aiming at the problems of output voltage fluctuation and current total harmonic distortion(THD)in the front stage totem-pole bridgeless PFC of two-stage V2G(Vehicle to Grid)vehicle-mounted bi-directional converter,a f... Aiming at the problems of output voltage fluctuation and current total harmonic distortion(THD)in the front stage totem-pole bridgeless PFC of two-stage V2G(Vehicle to Grid)vehicle-mounted bi-directional converter,a fuzzy linear active disturbance rejection control strategy for V2G front-stage AC-DC power conversion system is proposed.Firstly,the topologicalworkingmode of the totem-pole bridgeless PFC is analyzed,and themathematical model is established.Combined with the system model and the linear active disturbance rejection theory,a double closed-loop controller is designed with the second-order linear active disturbance rejection control as the voltage outer loop and PI control as the current inner loop.The controller can realize self-adaptive tuning of the proportional gain coefficient of the active disturbance rejection controller through fuzzy reasoning and realize self-adaptive control.Simulation and experimental results show that this method can better solve the problems of slow system response and high total harmonic distortion rate of input current and effectively improve the system’s robustness. 展开更多
关键词 V2G totem-pole bridgeless PFC fuzzy linear auto disturbance rejection robustness
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CAFE-2同步定时触发系统设计
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作者 李婧宇 杨锋 +3 位作者 郭玉辉 陈又新 崔文娟 李姣赛 《原子核物理评论》 北大核心 2025年第2期256-264,共9页
CAFE-2是中国科学院近代物理研究所于2021年建造、用于开展超重新核素合成、超重元素化学性质、超重核结构和性质等方面的研究的超导直线加速器。同步定时触发系统是CAFE-2的重要子系统,在CAFE-2的运行中起着关键性的作用。为了满足CAF... CAFE-2是中国科学院近代物理研究所于2021年建造、用于开展超重新核素合成、超重元素化学性质、超重核结构和性质等方面的研究的超导直线加速器。同步定时触发系统是CAFE-2的重要子系统,在CAFE-2的运行中起着关键性的作用。为了满足CAFE-2在加速器调试及终端运行两种运行模式下不同运行时序及同步触发的需求,CAFE-2主同步定时系统采用了经典的基于事件的定时方案,同时通过耦合电路及联锁逻辑设计,在终端运行模式下将旋转靶调制的同步脉冲信号与主定时CW(Continuous-wave)模式下的触发信号进行耦合,在不同运行模式下采用不同的工作原理与方案,解决了CAFE-2在终端运行模式下触发信号必须与旋转靶脉冲信号同步的难题。 展开更多
关键词 超导直线加速器 超重元素 定时系统 同步触发 CAFE-2 旋转靶 工作模式
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Resistance Anomaly and Linear Magnetoresistance in Thin Flakes of Itinerant Ferromagnet Fe_(3)GeTe_(2)
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作者 Honglei Feng Yong Li +3 位作者 Youguo Shi Hong-Yi Xie Yongqing Li Yang Xu 《Chinese Physics Letters》 SCIE EI CAS CSCD 2022年第7期98-104,共7页
Research interests in recent years have expanded into quantum materials that display novel magnetism incorporating strong correlations,topological effects,and dimensional crossovers.Fe_(3)GeTe_(2)represents such a two... Research interests in recent years have expanded into quantum materials that display novel magnetism incorporating strong correlations,topological effects,and dimensional crossovers.Fe_(3)GeTe_(2)represents such a twodimensional van der Waals platform exhibiting itinerant ferromagnetism with many intriguing properties.Up to date,most electronic transport studies on Fe_(3)GeTe_(2)have been limited to its anomalous Hall responses while the longitudinal counterpart(such as magnetoresistance)remains largely unexplored.Here,we report a few unusual transport behaviors on thin flakes of Fe_(3)GeTe_(2).Upon cooling to the base temperature,the sample develops a resistivity upturn that shows a crossover from a marginally-ln T to a-T^(1/2)dependence,followed by a lowertemperature deviation.Moreover,we observe a negative and non-saturating linear magnetoresistance when the magnetization is parallel or antiparallel to the external magnetic field.The slope of the linear magnetoresistance also shows a nonmonotonic temperature dependence.We deduce an anomalous contribution to the magnetoresistance at low temperatures with a scaling function proportional-HT^(1/2),as well as a temperature-independent linear term.Possible mechanisms that could account for our observations are discussed. 展开更多
关键词 red Resistance Anomaly and linear Magnetoresistance in Thin Flakes of Itinerant Ferromagnet Fe_(3)GeTe_(2)
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动磁式磁悬浮永磁直线同步电机悬浮子系统H_(2)/H_(∞)混合鲁棒控制策略 被引量:1
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作者 闫顺天 谭强 +2 位作者 田兵 马润城 李静 《电工技术学报》 北大核心 2025年第17期5422-5433,共12页
针对动磁式磁悬浮永磁直线同步电机,该文提出并设计了一种H2/H_(∞)混合鲁棒控制策略,有效地提升了电机悬浮子系统的鲁棒性和动态性。首先,分析动磁式磁悬浮永磁直线同步电机的运行机理,建立了电机系统数学模型,并指出传统H_(∞)鲁棒控... 针对动磁式磁悬浮永磁直线同步电机,该文提出并设计了一种H2/H_(∞)混合鲁棒控制策略,有效地提升了电机悬浮子系统的鲁棒性和动态性。首先,分析动磁式磁悬浮永磁直线同步电机的运行机理,建立了电机系统数学模型,并指出传统H_(∞)鲁棒控制策略存在无法考虑系统内部干扰的问题。在此基础上,提出并设计H2/H_(∞)混合鲁棒控制器,进一步分析了控制器加权矩阵参数对系统动态性和鲁棒性的影响,给出参数的选取原则。最后,搭建了磁悬浮永磁直线同步电机悬浮系统的实验平台,对所提出的H2/H_(∞)混合鲁棒控制策略进行了仿真和实验验证,其结果证明了该文研究内容的正确性和有效性。 展开更多
关键词 动磁式磁悬浮直线电机 磁悬浮系统数学模型 加权矩阵 H_(2)/H_(∞)混合鲁棒控制
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Editing Algorithms for Non-Linear Editing Systems Based on MPEG-2
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作者 罗森林 郭守刚 +1 位作者 袁禄军 彭泽山 《Journal of Beijing Institute of Technology》 EI CAS 2003年第1期15-18,共4页
MPEG-1/2-based non-linear editing systems appear to have a tendency to replace the M-JPEG systems, but in so doing it is difficult to realize the video, audio and the synchronization editing algorithms. Such editing a... MPEG-1/2-based non-linear editing systems appear to have a tendency to replace the M-JPEG systems, but in so doing it is difficult to realize the video, audio and the synchronization editing algorithms. Such editing algorithms are presented. Based on an analysis of the structure of the MPEG-1/2 stream, and using parameters of the video, audio and the synchronization information, the video, audio and synchronization editing algorithms are provided. The characters of the algorithms are efficient, the quality loss of frames is low because it only decodes and codes part of the data; the editing algorithm is fast through use of some index files; synchronization editing is realized using the synchronization information, such as PTS, ESCR and other parameters. 展开更多
关键词 non-linear editing MPEG-2 packet elementary stream
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Asymptotic Stability of 2-D Positive Linear Systems with Orthogonal Initial States
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作者 ZHU Qiao CUI Jia-Rui HU Guang-Da 《自动化学报》 EI CSCD 北大核心 2013年第9期1543-1546,共4页
这份报纸处理2-D的asymptotic稳定性有直角的起始的状态的积极线性系统。与1-D系统不同,有直角的起始的状态x的2-D系统的asymptotic稳定性(我,0),x(0,j)(Fornasini-Marchesini(FM)模型)或xv(我,0),xh(0,j)(Roesser模型)严格地依赖于合... 这份报纸处理2-D的asymptotic稳定性有直角的起始的状态的积极线性系统。与1-D系统不同,有直角的起始的状态x的2-D系统的asymptotic稳定性(我,0),x(0,j)(Fornasini-Marchesini(FM)模型)或xv(我,0),xh(0,j)(Roesser模型)严格地依赖于合适的边界条件。第一,为2-D的一个asymptotic稳定性标准积极FM首先,模型被使起始的状态成为x介绍(我,0),x(0,j)绝对会聚。然后,类似的结果也与任何绝对会聚的起始的状态xv为2-D被给积极Roesser模型(我,0),xh(0,j)。最后,二个例子被给显示出这些标准的有效性并且由造成指数地会聚的起始的状态表明轨道的集中。 展开更多
关键词 渐近稳定性 初始状态 线性系统 ROESSER模型 正交 绝对收敛 2-D系统 稳定性判据
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