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Keywords = cluster-delay mean square consensus

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14 pages, 569 KB  
Article
Cluster-Delay Mean Square Consensus of Stochastic Multi-Agent Systems with Impulse Time Windows
by Huan Luo, Yinhe Wang, Ruidian Zhan, Xuexi Zhang, Haoxiang Wen and Senquan Yang
Entropy 2021, 23(8), 1033; https://doi.org/10.3390/e23081033 - 11 Aug 2021
Cited by 4 | Viewed by 2727
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 [...] Read more.
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. Full article
(This article belongs to the Special Issue Complex Dynamic System Modelling, Identification and Control)
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