Exponential synchronization of nonlinear multi‐agent systems with time delays and impulsive disturbances |
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| Authors: | Tiedong Ma Frank L Lewis Yongduan Song |
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| Affiliation: | 1. Key Laboratory of Dependable Service Computing in Cyber Physical Society of Ministry of Education, Chongqing University, Chongqing, China;2. College of Automation, Chongqing University, Chongqing, China;3. The University of Texas at Arlington Research Institute, The University of Texas at Arlington, Fort Worth, TX, USA |
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| Abstract: | The problem of cooperative synchronization of nonlinear multi‐agent systems with time delays is investigated in this paper. Compared with the existing works about synchronization (or consensus) of multi‐agent systems, the method in this paper provides a more general framework by considering nonlinear multi‐agent systems with time delays and impulsive disturbances. The model in this paper is sufficiently general to include a class of delayed chaotic systems. Based on the Lyapunov stability theory and algebraic graph theory, sufficient conditions are presented to guarantee the cooperative exponential synchronization for these multi‐agent delayed nonlinear systems. These conditions are expressed in terms of linear matrix inequalities, which can easily be checked by existing software tools. It is seen that the Lyapunov functions must be constructed based on the graph topology to prove synchronization. The well‐known master–slave (drive‐response) synchronization of two chaotic delayed systems is a special case of this paper, and therefore, the results in this paper are also useful for practical applications in secure communication. Simulation results verify the effectiveness of the proposed synchronization control algorithm. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | multi‐agent systems cooperative synchronization time delay impulsive disturbance directed spanning tree |
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