<p>This paper investigates the global finite-time group consensus (FTGC) issue for multi-agent systems of reaction–diffusion partial differential equations under hybrid impulsive effects. Firstly, the global finite-time stability (FTS) analysis is established for nonlinear systems with hybrid impulses, where the upper bound of the settling-time related to the gain and number of impulse, is estimated accurately. Secondly, under the intergroup balance condition, a new event-triggered control protocol is designed to achieve the global FTGC. Thirdly, by means of Lyapunov functional method, inequality analysis techniques, and the proposed FTS theorems, the FTGC conditions are developed in terms of linear matrix inequalities. In addition, the Zeno behaviors are excluded for the designed control scheme. Finally, a simulation example is given to verify the validity of the theoretical analysis.</p>

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Finite-time group consensus for multi-agent systems of PDEs with hybrid impulses via event-triggered control strategy

  • Xiaofang Wang,
  • Shiguo Peng

摘要

This paper investigates the global finite-time group consensus (FTGC) issue for multi-agent systems of reaction–diffusion partial differential equations under hybrid impulsive effects. Firstly, the global finite-time stability (FTS) analysis is established for nonlinear systems with hybrid impulses, where the upper bound of the settling-time related to the gain and number of impulse, is estimated accurately. Secondly, under the intergroup balance condition, a new event-triggered control protocol is designed to achieve the global FTGC. Thirdly, by means of Lyapunov functional method, inequality analysis techniques, and the proposed FTS theorems, the FTGC conditions are developed in terms of linear matrix inequalities. In addition, the Zeno behaviors are excluded for the designed control scheme. Finally, a simulation example is given to verify the validity of the theoretical analysis.