Journal
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Volume 24, Issue -, Pages 115-131Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2016.11.007
Keywords
Synchronization of multi-agent system; Chaotic systems; Time delays; Switching topologies; Directed intermittent communications
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Funding
- Major State Basic Research Development Program 973 [2012CB215202, 2014C8249200]
- National Natural Science Foundation of China [61203076, 61134001]
- Basic and Frontier Research Project of Chongqing [cstc2013jcyjA70006, cstc2015jcyjA40038]
- Natural Science Foundation of Tianjin City [13JCQNJC03500]
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In this paper the distributed consensus problem for a class of multi-agent chaotic systems with unknown time delays under switching topologies and directed intermittent communications is investigated. Each agent is modeled as a general nonlinear system including many chaotic systems with or without time delays. Based on the Lyapunov stability theory and graph theory, some sufficient conditions guarantee the exponential convergence. A graph-dependent Lyapunov proof provides the definite relationship among the bound of unknown time delays, the admissible communication rate and each possible topology duration. Moreover, the relationship reveals that these parameters have impacts on both the convergence speed and control cost. The case with leader-following communication graph is also addressed. Finally, simulation results verify the effectiveness of the proposed method. (C) 2016 Elsevier Ltd. All rights reserved.
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