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Distributed Containment Control of Multi-agent Systems with General Linear Dynamics and Time-delays

Bo Li*, Hong-Yong Yang, Zeng-Qiang Chen, and Zhong-Xin Liu
International Journal of Control, Automation, and Systems, vol. 16, no. 6, pp.2718-2726, 2018

Abstract : Containment control problems for high-order linear time-invariant multi-agent systems with fixed communication time-delays are investigated. Based on Lyapunov-Krasovskii functional method and the linear matrix inequality (LMI) method, sufcient conditions on the communication digraph, the feedback gains, and the allowed upper bound of the delays to ensure containment control of the multi-agent systems under the different containment control algorithms are given. Finally, numerical simulations are presented to demonstrate theoretical results.

Keyword : Communication time-delays, containment control, general linear dynamics, multi-agent systems.

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