Exponential consensus of discrete-time non-linear multi-agent systems via relative state-dependent impulsive protocols.

Journal: Neural networks : the official journal of the International Neural Network Society
Published Date: Aug 27, 2018

Abstract

In this paper, we discuss the exponential consensus problem of discrete-time multi-agent systems with non-linear dynamics via relative state-dependent impulsive protocols. Impulsive protocols of which the impulsive instants are dependent on the weighted relative states of any two agents are introduced for general discrete-time multi-agent systems. The analysis of such impulsive protocols is transformed into an investigation on reduced fixed-time impulsive protocols by constructing a map, which is achieved mainly by a derived B-equivalence method in discrete-time domain. Our main results indicate that the exponential consensus of the multi-agent systems via relative state-dependent impulsive protocols can be achieved if the reduced systems via fixed-time impulsive protocols can achieve exponential consensus, which need to satisfy suitable sufficient conditions. Numerical simulations are presented to support the theoretical results.

Authors

  • Yiyan Han
    Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic and Information Engineering, Southwest University, Chongqing 400715, China. Electronic address: yiyanhan@email.swu.edu.cn.
  • Chuandong Li
    College of Electronic and Information Engineering, Southwest University, Chongqing 400044, PR China. Electronic address: licd@cqu.edu.cn.
  • Zhigang Zeng
  • Hongfei Li
    Department of Neurology, Dongyang People's Hospital, Affiliated to Wenzhou Medical University, Dongyang, China.

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