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Containment Control of Multi-agent Systems with Time-delays over Heterogeneous Networks

Bo Li*, Hong-yong Yang, Zeng-qiang Chen, and Zhong-xin Liu
International Journal of Control, Automation, and Systems, vol. 17, no. 10, pp.2521-2530, 2019

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

Keyword : Communication time-delays, containment control, heterogeneous networks, multi-agent systems.

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