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Stability Analysis for a class of Impulsive Fuzzy control systems

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Stability Analysis for a class of Impulsive Fuzzy Control Sy...

New Criteria on Synchronization in Complex Dynamical Networks With Time-varying Delays

2009中国控制与决策会议

作者： Zhichun Yang~(1,2),Linhua Zhang~1,Zegang Wu~1,Jinliang Wang~1 1.Chongqing key lab of Operations Research and System Department of Mathematics and Computer science Chongqing Normal University,Chongqing 400047,PR china 2.key lab of systems and control,institute of systems science chinese academy of sciences,beijing 100190,PR china

＜正＞In this paper,we formulate a model of hybrid dynamical systems with impulsive fuzzy control inputs. Sufficient conditions on the stability for these hybrid systems are *** results show that the proposed impulsive fuzzy control can be applied to stabilize some unstable ***,we present an design,which involves impulsive fuzzy control for synchronization of complex coupled networks,to illustrate the effectiveness of the results.

关键词： Impulsive fuzzy control hybrid systems stability complex networks synchronization.

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New Criteria on Synchronization in Complex Dynamical Network...

NONPARAMETRIC APPROACH TO IDENTIFYING NARX systems

2009中国控制与决策会议

作者： Jinliang Wang~1,Zhichun Yang~(1,2),Yuehui Zhao~3,Zegang Wu~1 1.Chongqing key lab of Operations Research and System,Dept of Math & Computer Sci Chongqing Normal University,Chongqing 400047,PR china 2.key lab of systems and control,institute of systems science chinese academy of sciences,beijing 100190,PR china 3.Wuhan University of Technology,Wuhan 430070,PR china

＜正＞In this paper,a class of complex dynamic network model with time-varying delays is *** employing linear matrix inequalities（LMI） and Lyapunov functional method,some new sufficient conditions ensuring the synchronization of the network systems are obtained.A numerical example and it simulations are given to illustrate the efficiency of the derived results.

关键词： Synchronization Complex networks Time-varying delays Lyapunov functional Linear matrix inequality

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Journal of systems science & Complexity 2010年第1期23卷 3-21页

作者： Qijiang SONG·Han-Pu CHEN key laboratory of systems and control,institute of systems science,academy of Mathematics and systems science,chinese academy of sciences,beijing 100190,china key laboratory of systems and control Institute of Systems Science Academy of Mathematics and Systems Science Chinese Academy of Sciences

This paper considers identification of the nonlinear autoregression with exogenous inputs(NARX system).The growth rate of the nonlinear function is required be not faster than linear withslope less than *** value of f(·) at any fixed point is recursively estimated by the stochasticapproximation (SA) algorithm with the help of kernel *** consistency of the estimatesis established under reasonable conditions,which,in particular,imply stability of the *** simulation is consistent with the theoretical analysis.

关键词： α-mixing geometrically ergodic Markov chains NARX nonparametric recursive estimate stochastic approximation strongly consistent.

MULTI-AGENT TRACKING OF A HIGH-DIMENSIONAL ACTIVE LEADER WITH SWITCHING TOPOLOGY

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Journal of systems science & Complexity 2009年第4期22卷 722-731页

作者： Yiguang HONG Xiaoli WANG key lab of systems and control,institute of systems science,academy of Mathematics and systems science,chinese academy of sciences,beijing 100190,china. key lab of systems and control Institute of Systems Science Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China

This paper considers a multi-agent tracking problem for a high-dimensional active leaderand variable interconnection topology. The state of the leader not only keeps changing but also maynot be measured. To estimate the state such a leader individually, a neighbor-based local controllertogether with a neighbor-based state-estimation rule is given for each autonomous agent. Then, theauthors prove that, with the help of a constructed common Lyapunov function (CLF), each agent cantrack the active leader with unmeasurable states. Finally, the authors explicitly construct a CLF foran active leader with unknown periodic input for illustration.

关键词： Active leader distributed algorithms multi-agent systems switching topology.

DISTRIBUTED FINITE-TIME χ-CONSENSUS ALGORITHMS FOR MULTI-AGENT systems WITH VARIABLE COUPLING TOPOLOGY

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Journal of systems science & Complexity 2010年第2期23卷 209-218页

作者： Xiaoli WANG·Yiguang HONG key laboratory of systems and control,chinese academy of sciences,beijing 100190,china. key laboratory of systems and control Chinese Academy of Sciences

This paper considers finite-time χ-consensus problem for a multi-agent system with firstorderindividual dynamics and switching interaction *** distributed finite-time consensusrules are constructed for multi-agent dynamics in a unified way with the help of Lyapunovfunction and graph theory as well as ***-invariant non-smooth forms of finite-timeneighbor-based controllers are proposed and a numerical example is shown for illustration.

关键词： χ-consensus distributed control multi-agent networks non-smoothness switching graphs.

ON THE OBSERVABILITY AND DETECTABILITY OF LINEAR STOCHASTIC systems WITH MARKOV JUMPS AND MULTIPLICATIVE NOISE

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Journal of systems science & Complexity 2010年第1期23卷 102-115页

作者： Yuanhua NI Weihai ZHANG Haitao FANG key laboratory of systems and control Institute of Systems Science Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China. College of Information and Electrical Engineering Shandong University of Science and Technology Qingdao China.

This paper presents the notions of exact observability and exact detectability for Markov jump linear stochastic systems of Ito type with multiplieative noise （for short, MJLSS）. Stochastic Popov-Belevith-Hautus （PBH） Criterions for exact observability and exact detectability are respectively obtained. As an application, stochastic H2/H∞ control for such MJLSS is discussed under exact detectability.

关键词： Exact detectability exact observability Markov jump systems multiplicative noise PBH Criterion stochastic H2/H∞ control.

Matrix expression and reachability analysis of finite automata

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控制理论与应用（英文版） 2012年第2期10卷 210-215页

作者： Xiangru XU, Yiguang HONG key laboratory of systems and control, academy of Mathematics and systems science, chinese academy of sciences, beijing 100190, china key laboratory of systems and control Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing China

In this paper, we propose a matrix-based approach for finite automata and then study the reachability conditions. Both the deterministic and nondeterministic automata are expressed in matrix forms, and the necessary and sufficient conditions on reachability are given using semitensor product of matrices. Our results show that the matrix expression provides an effective computational way for the reachability analysis of finite automata.

关键词： Finite automata Reachability Matrix expression Semitensor product

Markov chain approach to identifying Wiener systems

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science china(Information sciences) 2012年第5期55卷 1201-1217页

作者： ZHAO WenXiao 1,2 & CHEN HanFu 1,2 1 key laboratory of systems and control,institute of systems science,AMSS,chinese academy of sciences,beijing 100190,china 2 National Center for Mathematics and Interdisciplinary sciences,chinese academy of sciences,beijing 100190,china 1. key laboratory of systems and control Institute of Systems Science AMSS Chinese Academy of Sciences Beijing 100190 China2. National Center for Mathematics and Interdisciplinary Sciences Chinese Academy of Sciences Beijing 100190 China

Identification of the Wiener system composed of an infinite impulse response (IIR) linear subsystem followed by a static nonlinearity is *** recursive estimates for unknown coefficients of the linear subsystem and for the values of the nonlinear function at any fixed points are given by the stochastic approx-imation algorithms with expanding truncations (SAAWET).With the help of properties of the Markov chain connected with the linear subsystem,all estimates derived in the paper are proved to be strongly *** comparison with the existing results on the topic,the method presented in the paper simplifies the convergence analysis and requires weaker conditions.A numerical example is given,and the simulation results are consistent with the theoretical analysis.

关键词： Wiener system recursive identification stochastic approximation Markov chain strong consis-tency

BOUNDARY FEEDBACK STABILIZATION OF NONUNIFORM TIMOSHENKO BEAM WITH A TIPLOAD

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chinese Annals of Mathematics,Series B 2001年第4期22卷 485-494页

作者： YAN QINGXU, FENG DEXING institute of systems science, academy of Mathematics and systems science, chinese academy of sciences, beijing 100080, china. institute of systems science, academy of Mathematics and systems science, chinese academy of sciences, Be institute of systems science Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100080 China

The boundary stabilization problem of a Timoshenko beam attached with a mass at one end is studied. First, with linear boundary force feedback and moment control simultaneously at the end attached with the load, the energy corresponding to the closed loop system is proven to be exponentially convergent to zero as time t →∞. Then, some counterexamples are given to show that, in other casest the corresponding closed loop system is, in general, not stable asymtotically, let alone exponentially.

关键词： Timoshenko beam Boundary feedback control C0 semigroups Exponential stability Multiplier method