Cluster-Delay Mean Square Consensus of Stochastic Multi-Agent Systems with Impulse Time Windows |
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| Authors: | Huan Luo Yinhe Wang Ruidian Zhan Xuexi Zhang Haoxiang Wen Senquan Yang |
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| Institution: | 1.School of Automation, Guangdong University of Technology, Guangzhou 510006, China; (H.L.); (Y.W.); (X.Z.);2.School of Advanced Manufacturing, Guangdong University of Technology, Guangzhou 510006, China;3.School of Intelligent Engineering, Shaoguan University, Shaoguan 512026, China; (H.W.); (S.Y.);4.Chipeye Microelectronics Foshan Ltd., Foshan 528225, China |
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| Abstract: | This paper investigates the cluster-delay mean square consensus problem of a class of first-order nonlinear stochastic multi-agent systems with impulse time windows. Specifically, on the one hand, we have applied a discrete control mechanism (i.e., impulsive control) into the system instead of a continuous one, which has the advantages of low control cost, high convergence speed; on the other hand, we considered the existence of impulse time windows when modeling the system, that is, a single impulse appears randomly within a time window rather than an ideal fixed position. In addition, this paper also considers the influence of stochastic disturbances caused by fluctuations in the external environment. Then, based on algebraic graph theory and Lyapunov stability theory, some sufficiency conditions that the system must meet to reach the consensus state are given. Finally, we designed a simulation example to verify the feasibility of the obtained results. |
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| Keywords: | cluster-delay mean square consensus multi-agent systems stochastic disturbances impulse time windows impulsive control |
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