Leader-Following Consensus in Networks of Agents with Nonuniform Time-Varying Delays

Zhao-Jun Tang, Ting-Zhu Huang, Jiang-Ping Hu and Jin-Liang Shao

Mathematical Problems in Engineering, 2012, vol. 2012, 1-14

Abstract:

This paper is concerned with a leader-following consensus problem for networks of agents with fixed and switching topologies as well as nonuniform time-varying communication delays. By employing Lyapunov-Razumikhin function, a necessary and sufficient condition is derived in the case of fixed topology, and a sufficient condition is obtained in the case when the interconnection topology is switched and satisfies certain condition. Simulation results are provided to illustrate the theoretical results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:848942

DOI: 10.1155/2012/848942

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