L2−L∞ consensus of stochastic delayed multi-agent systems with ADT switching interaction topologies

Xin Huang, Yamin Liu, Yang Wang, Jianping Zhou, Muyun Fang and Zhen Wang

Applied Mathematics and Computation, 2020, vol. 368, issue C

Abstract: This paper investigates the L2−L∞ consensus for a class of stochastic delayed multi-agent systems subject to switching interaction topologies via utilizing an observer-based control protocol. The switching between the interaction topologies is assumed to have the average dwell time (ADT) constraint. With the aid of a simple model transformation, the L2−L∞ consensus issue is transformed into the problem of weighted stochastic L2−L∞ control. Analysis results on the weighted stochastic L2−L∞ control are proposed by constructing Lyapunov-Krasovskii functional and employing stochastic analysis methods. Then, an approach is developed to determine the desired observer-based consensus protocol. Finally, an illustrative numerical example is given to show the usefulness of our design method.

Keywords: Average dwell time; Multi-agent system; Stochastic noise; Consensus; Observer-based control (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:368:y:2020:i:c:s0096300319307921

DOI: 10.1016/j.amc.2019.124800

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