Containment Control for First-Order Multi-Agent Systems with Time-Varying Delays and Uncertain Topologies*

Fuyong Wang, Hongyong Yang, Shuning Zhang, Fujun Han · Communications in Theoretical Physics · 2016

Abstract Containment control of first-order multi-agent systems with uncertain topologies and communication time-delays is studied. Suppose system topologies are dynamically changed, a containment control algorithm with time-varying delays is presented. The stability of the control algorithm is studied under the assumption that communication topologies are jointly-connected, and constraint condition of distributed containment control for delayed multi-agent systems is derived with the aid of Lyapunov-Krasovskii function. Simulation results are provided to prove the correctness and effectiveness of the conclusion.

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