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Distributed node‐to‐node consensus of multi‐agent systems with stochastic sampling
Authors:Ying Wan  Guanghui Wen  Jinde Cao  Wenwu Yu
Affiliation:1. Department of Mathematics, Southeast University, Nanjing, China;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;3. Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
Abstract:This paper is concerned with the mean square node‐to‐node consensus tracking problem for multi‐agent systems with nonidentical nonlinear dynamics and directed topologies. The randomly occurred uncertainties in the sampling devices may result in stochastically varied sampling periods, which lead to the investigation of node‐to‐node consensus problem under stochastic sampling. By employing the input‐delay method and discontinuous Lyapunov functional approach, it arrives at some sufficient conditions under which the state of each follower can track that of the corresponding leader asymptotically in the mean square sense. Finally, some numerical simulations are provided to verify the effectiveness of the theoretical results. Copyright © 2015 John Wiley & Sons, Ltd.
Keywords:multi‐agent system  distributed control  node‐to‐node consensus  stochastic sampling
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