Randomly changing leader-following consensus control for Markovian switching multi-agent systems with interval time-varying delays

M. J. Park; O. M. Kwon; Ju H. Park; S. M. Lee; E. J. Cha

doi:10.1016/j.nahs.2013.11.003

Randomly changing leader-following consensus control for Markovian switching multi-agent systems with interval time-varying delays

M. J. Park, O. M. Kwon, Ju H. Park, S. M. Lee, E. J. Cha

School of Electronics Engineering

Research output: Contribution to journal › Article › peer-review

45 Scopus citations

Abstract

This paper considers the problem of leader-following consensus stability and also stabilization for multi-agent systems with interval time-varying delays. The randomly occurring interconnection information of the leader and the Markovian switching interconnection information of the agent are matters of concern in the systems. Through construction of a suitable Lyapunov-Krasovskii functional and utilization of the reciprocally convex approach, new delay-dependent consensus stability and stabilization conditions for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by using various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.

Original language	English
Pages (from-to)	117-131
Number of pages	15
Journal	Nonlinear Analysis: Hybrid Systems
Volume	12
Issue number	1
DOIs	https://doi.org/10.1016/j.nahs.2013.11.003
State	Published - May 2014

Keywords

Consensus
Interval time-varying delay
Lyapunov method
Multi-agent systems
Stochastic process

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10.1016/j.nahs.2013.11.003

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title = "Randomly changing leader-following consensus control for Markovian switching multi-agent systems with interval time-varying delays",

abstract = "This paper considers the problem of leader-following consensus stability and also stabilization for multi-agent systems with interval time-varying delays. The randomly occurring interconnection information of the leader and the Markovian switching interconnection information of the agent are matters of concern in the systems. Through construction of a suitable Lyapunov-Krasovskii functional and utilization of the reciprocally convex approach, new delay-dependent consensus stability and stabilization conditions for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by using various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.",

keywords = "Consensus, Interval time-varying delay, Lyapunov method, Multi-agent systems, Stochastic process",

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AU - Park, M. J.

AU - Kwon, O. M.

AU - Park, Ju H.

AU - Lee, S. M.

AU - Cha, E. J.

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N2 - This paper considers the problem of leader-following consensus stability and also stabilization for multi-agent systems with interval time-varying delays. The randomly occurring interconnection information of the leader and the Markovian switching interconnection information of the agent are matters of concern in the systems. Through construction of a suitable Lyapunov-Krasovskii functional and utilization of the reciprocally convex approach, new delay-dependent consensus stability and stabilization conditions for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by using various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.

AB - This paper considers the problem of leader-following consensus stability and also stabilization for multi-agent systems with interval time-varying delays. The randomly occurring interconnection information of the leader and the Markovian switching interconnection information of the agent are matters of concern in the systems. Through construction of a suitable Lyapunov-Krasovskii functional and utilization of the reciprocally convex approach, new delay-dependent consensus stability and stabilization conditions for the systems are established in terms of linear matrix inequalities (LMIs) which can be easily solved by using various effective optimization algorithms. Two numerical examples are given to illustrate the effectiveness of the proposed methods.

KW - Consensus

KW - Interval time-varying delay

KW - Lyapunov method

KW - Multi-agent systems

KW - Stochastic process

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Randomly changing leader-following consensus control for Markovian switching multi-agent systems with interval time-varying delays

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