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Finite-time consensus of second-order nonlinear multi-agent systems with impulsive effects

Yuan Tian

College of Electronic and Information Engineering, Southwest University, Chongqing 400715, China

Faculty of Built Environment, Chongqing University, Chongqing 400044, China

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and

Chuandong Li

http://orcid.org/0000-0001-6155-4849

College of Electronic and Information Engineering, Southwest University, Chongqing 400715, China

E-mail Address: cdli@swu.edu.cn

Corresponding author.

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https://doi.org/10.1142/S0217984920504060Cited by:7 (Source: Crossref)

Abstract

This paper addresses finite-time consensus of second-order nonlinear multi-agent systems with impulsive effects. A control protocol contains neighborhood and self state feedback without sign function is proposed for finite-time consensus. By employing Lyapunov stability theory, a new less conservative estimation of energy function is obtained, by solving which, it gets both finite-time consensus and exponential consensus criteria with or without impulsive effects. Moreover, three impulsive types: stability, divergence and no effects, are divided based on strengths of impulse and controller. Examples are provided to demonstrate the correctness of theoretical results and the effectiveness of the finite-time protocol.

Keywords:

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