<p>Under the directed/undirected topology, this paper investigates the global asymptotical leader-follower consensus for variable-order switched multi-agent systems with partial discontinuous dynamics. Via the distributed hybrid control protocols composed of dynamic event-trigger mechanism, sufficient consensus criteria are established by utilizing minimum dwell time technique, graph theory, matrix theory and Lyapunov stability theory, etc. Moreover, Zeno phenomenon is rule out via contradiction approach. Finally, several numerical simulations and comparison results are presented to demonstrate the efficacy of the proposed hybrid control strategies.</p>

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Global leader-follower consensus for variable-order switched multi-agent systems with partial discontinuous inherent dynamics via hybrid control strategies

  • Xiao Peng,
  • Yijing Wang,
  • Zhiqiang Zuo

摘要

Under the directed/undirected topology, this paper investigates the global asymptotical leader-follower consensus for variable-order switched multi-agent systems with partial discontinuous dynamics. Via the distributed hybrid control protocols composed of dynamic event-trigger mechanism, sufficient consensus criteria are established by utilizing minimum dwell time technique, graph theory, matrix theory and Lyapunov stability theory, etc. Moreover, Zeno phenomenon is rule out via contradiction approach. Finally, several numerical simulations and comparison results are presented to demonstrate the efficacy of the proposed hybrid control strategies.