Containment control for partial differential multi-agent systems

Qin Fu, Pengfei Yu, Guangzhao Xu and Jianrong Wu

Physica A: Statistical Mechanics and its Applications, 2019, vol. 529, issue C

Abstract: This paper investigates the containment control problem for a class of partial differential multi-agent systems, which are governed by the parabolic equations (heat equations) or the second-order hyperbolic equations (wave equations). The distributed containment-based feedback control laws are obtained by constructing an appropriate Lyapunov functional, and under the action of the feedback control laws, the containment errors between the followers′ states and the convex hull spanned by the leaders′ states on an appropriate Sobolev space can converge to zero as time tends to infinity. Simulation examples are finally used to show the effectiveness of the theoretical analysis.

Keywords: Multi-agent systems; Parabolic equation; Hyperbolic equation; Containment control; Multiple leaders (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:529:y:2019:i:c:s0378437119309148

DOI: 10.1016/j.physa.2019.121549

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