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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 {2. and control,institute of {2. science,academy of Mathematics and {2. science,chinese academy of {12.,Beijing 100190,china. key lab of {2. and control Institute of Systems Science Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 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.

A new transient stability margin based on dynamic security region and its applications

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science china(Technological {2.) 2008年第6期51卷 751-760页

作者： XUE AnCheng1, 2.& MEI ShengWei1 1 State key lab of Power {2., Department of Electrical Engineering, Tsinghua University, Beijing 100084, china 2.key lab of systems and control, institute of systems science, chinese academy of sciences, Beijing 100190, china State key lab of Power {2. Department of Electrical Engineering Tsinghua University Beijing China key lab of {2. and control Institute of Systems Science Chinese Academy of Sciences Beijing China

A new transient stability margin is proposed based on a new expression of dynamic security region (DSR) which is developed from the existing expression of DSR. Applications of the DSR based transient stability margin to contingency ranking and screening are discussed. Simulations in the 10-machine 39-bus New England system are performed to show the effectiveness of the proposed DSR based tran-sient stability margin.

关键词： dynamic security region (DSR) transient stability margin contingency screening

Markov chain approach to identifying Wiener systems

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science china(Information {2.) 2012年第5期55卷 1201-1217页

作者： ZHAO WenXiao 1,2.& CHEN HanFu 1,2.1 key laboratory of {2. and control,institute of {2. science,AMSS,chinese academy of sciences,Beijing 100190,china 2.National Center for Mathematics and Interdisciplinary sciences,chinese academy of sciences,Beijing 100190,china key laboratory of {2. and control Institute of Systems Science AMSS Chinese Academy of Sciences Beijing China National Center for Mathematics and Interdisciplinary sciences Chinese Academy of Sciences Beijing 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

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 {2. 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 {2. and control, academy of Mathematics and {2. science, chinese academy of sciences, Beijing 100190, china key laboratory of {2. 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

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 {2. and control,chinese academy of sciences,Beijing 100190,china. key laboratory of {2. and control Chinese Academy of Sciences Beijing China

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 ratio of different norms of caloric functions and related eigenfunctions of an integral operator

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science china Mathematics 2012年第8期55卷 1597-1612页

作者： DING YuTao 1,2.& ZHANG LiQun 1,2.1 institute of Mathematics,academy of Mathematics and {2. science,chinese academy of sciences,Beijing 100190,china 2.Hua Loo-Keng key laboratory of Mathematics,chinese academy of sciences,Beijing 100190,china institute of Mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing China Hua Loo-Keng key laboratory of Mathematics Chinese Academy of Sciences Beijing China

We investigate the ratio of L 1 and L 2.norms of the Cauchy problem solutions of heat equations with compact support initial *** related asymptotic behavior of the eigenvalues and eigenfunctions of certain integral op... 详细信息

关键词： integral operators eigenvalues heat equation

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 {2. science, chinese academy of sciences, Beijing 100080, china. institute of systems science, academy of Mathematics and {2. science, chinese academy of sciences, Be institute of systems {2. 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

A CRITERION FOR TESTING WHETHER A DIFFERENCE IDEAL IS PRIME

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Journal of systems science & Complexity 2009年第4期22卷 627-635页

作者： Chunming YUAN Xiao-Shan GAO key laboratory of Mathematics Mechanization,{2. of systems science academy of Mathematics and systems science,chinese academy of sciences,Beijing 100190,{12.. key laboratory of Mathematics Mechanization Institute of Systems Science Beijing China academy of Mathematics and systems {2. Chinese Academy of Sciences Beijing China

This paper presents a criterion for testing the irreducibility of a polynomial over an algebraicextension *** this criterion and the characteristic set method,the authors give a criterion fortesting whether certain difference ascending chains are strong irreducible,and as a consequence,whetherthe saturation ideals of these ascending chains are prime ideals.

关键词： Characteristic set difference prime ideal irreducibility strong irreducibility.