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2009中国控制与决策会议

作者： Yang Dai~1,Yunze Cai~1,Xiaoming Xu~(1,2,3) 1.Department of Automation,Shanghai Jiao Tong University,800 Dongchuan Road,RR.China 2.University of Shanghai For Science and Technology,516 Jungong Road,P.R.China 3.Shanghai Academy of Systems Science,P.R.China

＜正＞The aim of this study is to provide a practical paradigm to ascertain the complete characterization of stability intervals for neutral time-delay systems with multiple commensurate ***,the matrix pencil test is used to determine the complete set of imaginary characteristic *** at these frequencies points may the stability switching *** compute the principle delay valueτfor each zero-crossing frequencyωwithin[0,2π]and their infinite extension with the period 2π/ω.Sort all critical delays by size,then the exact intervals can be obtained exhaustively. Lastly,a boundary criterion is used to check the stability for any given delay point value in an *** to the continuity of stability exponent,the interval has identical stability with any delay point ***,the stability property of all intervals is *** examples are given to illustrate the theoretical results.

关键词： Time-delay system complete stability neutral delay commensurate delays

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Global stability analysis on a class of cellular neural networks

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Science China(Technological Sciences) 2001年第1期44卷 1-11页

作者：章毅虞厥邦吴跃 Institute of Computer Sciences and Engineering University of Electronic Science and Technology of China Chengdu China Department of Opto-electronic Technology University of Electronic Science and Technology Chengdu China

The existence, uniqueness, globally exponential stability andspeed of exponential convergence for a class of cellular neural networks are investigated. The existence of a unique equilibrium is proved under very concise conditions, and theorems for estimating the global convergence speed approaching the equilibrium and criteria for its globally exponential stability are derived, Considering synapse time delay, by constructing appropriate Lyapunov functional, the existence of a unique equilibrium and its global stability for the delayed network are also proved. The results, which do not require the cloning template to be symmetric, are easy to use in network design.

关键词： celluar neural networks equilibrium complete stability asymptotically global stability exponential stability synapse time delay

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Collective motion in non-reciprocal swarms

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控制理论与应用（英文版） 2009年第2期7卷 105-111页

作者： Bo LIU Tianguang CHU Long WANG College of Science North China University of Technology Beijing 100041 China Intelligent Control Laboratory Center for Systems and Control College of Engineering and Key Laboratory of Machine Perception （Ministry of Education） Peking University Beijing 100871 China

This paper studies a non-reciprocal swarm model that consists of a group of mobile autonomous agents with an attraction-repulsion function governing the interaction of the agents. The function is chosen to have infinitely large values of repulsion for vanishing distance between two agents so as to avoid occurrence of collision. It is shown analytically that under the detailed balance condition in coupling weights, all the agents will aggregate and eventually form a cohesive cluster of finite size around the weighted center of the swarm in a finite time. Moreover, the swarm system is completely stable, namely, the motion of all agents converge to the set of equilibrium points. For the general case of non-reciprocal swarms without the detailed balance condition, numerical simulations show that more complex self-organized oscillations can emerge in the swarms. The effect of noise on collective dynamics of the swarm is also examined with a white Gaussian noise model.

关键词： Aggregation Collective behaviour Collision avoidance complete stability Self-organized oscillation

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