Second-Order Leader-Following Consensus of Multiagent Systems with Time Delays

Second-Order Leader-Following Consensus of Multiagent Systems with Time Delays

This paper is concerned with a leader-following consensus problem of second-order multiagent systems with a constant acceleration leader and time-varying delays. At first, a distributed control protocol for every agent to track the leader is proposed; then by utilizing the Lyapunov-Razumikhin functi...

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Main Authors: Hong Xia, Ting-Zhu Huang, Jin-Liang Shao, Jun-Yan Yu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2013/505434
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spelling doaj-c71a233044834239a5bae90c248fcae72020-11-24T22:46:43ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/505434505434Second-Order Leader-Following Consensus of Multiagent Systems with Time DelaysHong Xia0Ting-Zhu Huang1Jin-Liang Shao2Jun-Yan Yu3School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaThis paper is concerned with a leader-following consensus problem of second-order multiagent systems with a constant acceleration leader and time-varying delays. At first, a distributed control protocol for every agent to track the leader is proposed; then by utilizing the Lyapunov-Razumikhin function, the convergence analysis under both fixed and switching interconnection topologies is investigated. For the case of fixed topology, a sufficient and necessary condition is obtained, and for the case of switching topology, a sufficient condition is derived under some assumptions. Finally, simulation examples are provided to demonstrate the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2013/505434
collection DOAJ
language English
format Article
sources DOAJ
author Hong Xia
Ting-Zhu Huang
Jin-Liang Shao
Jun-Yan Yu
spellingShingle Hong Xia
Ting-Zhu Huang
Jin-Liang Shao
Jun-Yan Yu
Second-Order Leader-Following Consensus of Multiagent Systems with Time Delays
Mathematical Problems in Engineering
author_facet Hong Xia
Ting-Zhu Huang
Jin-Liang Shao
Jun-Yan Yu
author_sort Hong Xia
title Second-Order Leader-Following Consensus of Multiagent Systems with Time Delays
title_short Second-Order Leader-Following Consensus of Multiagent Systems with Time Delays
title_full Second-Order Leader-Following Consensus of Multiagent Systems with Time Delays
title_fullStr Second-Order Leader-Following Consensus of Multiagent Systems with Time Delays
title_full_unstemmed Second-Order Leader-Following Consensus of Multiagent Systems with Time Delays
title_sort second-order leader-following consensus of multiagent systems with time delays
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2013-01-01
description This paper is concerned with a leader-following consensus problem of second-order multiagent systems with a constant acceleration leader and time-varying delays. At first, a distributed control protocol for every agent to track the leader is proposed; then by utilizing the Lyapunov-Razumikhin function, the convergence analysis under both fixed and switching interconnection topologies is investigated. For the case of fixed topology, a sufficient and necessary condition is obtained, and for the case of switching topology, a sufficient condition is derived under some assumptions. Finally, simulation examples are provided to demonstrate the effectiveness of the theoretical results.
url http://dx.doi.org/10.1155/2013/505434
work_keys_str_mv AT hongxia secondorderleaderfollowingconsensusofmultiagentsystemswithtimedelays
AT tingzhuhuang secondorderleaderfollowingconsensusofmultiagentsystemswithtimedelays
AT jinliangshao secondorderleaderfollowingconsensusofmultiagentsystemswithtimedelays
AT junyanyu secondorderleaderfollowingconsensusofmultiagentsystemswithtimedelays
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