Delay-Distribution-Dependent Consensus for Second-Order Leader-Follower Nonlinear Multiagent Systems via Pinning Control

Delay-Distribution-Dependent Consensus for Second-Order Leader-Follower Nonlinear Multiagent Systems via Pinning Control

This paper investigates the consensus problem for second-order leader-follower nonlinear multiagent systems with general network topologies. A pinning control algorithm is proposed, where it includes time-varying delay information. By using the information of delay-partition and delay-distribution a...

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Main Authors: Hongjie Li, Ming Chen, Shigen Shen, Lin Li
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/621623
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spelling doaj-74298c75e50249c4b8d97c5dae5146d52020-11-24T20:59:14ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/621623621623Delay-Distribution-Dependent Consensus for Second-Order Leader-Follower Nonlinear Multiagent Systems via Pinning ControlHongjie Li0Ming Chen1Shigen Shen2Lin Li3College of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, ChinaCollege of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, ChinaCollege of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, ChinaCollege of Mathematics, Physics and Information Engineering, Jiaxing University, Zhejiang 314001, ChinaThis paper investigates the consensus problem for second-order leader-follower nonlinear multiagent systems with general network topologies. A pinning control algorithm is proposed, where it includes time-varying delay information. By using the information of delay-partition and delay-distribution and constructing an appropriate Lyapunov-Krasovskii functional, the consensus criteria are derived to achieve leader-follower consensus for multiagent systems, which are in the form of linear inequalities that can be solved by employing the semidefinite programme method. Moreover, this paper addresses what kind of agents and how many agents should be pinned. Two numerical examples are presented to further demonstrate the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2013/621623
collection DOAJ
language English
format Article
sources DOAJ
author Hongjie Li
Ming Chen
Shigen Shen
Lin Li
spellingShingle Hongjie Li
Ming Chen
Shigen Shen
Lin Li
Delay-Distribution-Dependent Consensus for Second-Order Leader-Follower Nonlinear Multiagent Systems via Pinning Control
Abstract and Applied Analysis
author_facet Hongjie Li
Ming Chen
Shigen Shen
Lin Li
author_sort Hongjie Li
title Delay-Distribution-Dependent Consensus for Second-Order Leader-Follower Nonlinear Multiagent Systems via Pinning Control
title_short Delay-Distribution-Dependent Consensus for Second-Order Leader-Follower Nonlinear Multiagent Systems via Pinning Control
title_full Delay-Distribution-Dependent Consensus for Second-Order Leader-Follower Nonlinear Multiagent Systems via Pinning Control
title_fullStr Delay-Distribution-Dependent Consensus for Second-Order Leader-Follower Nonlinear Multiagent Systems via Pinning Control
title_full_unstemmed Delay-Distribution-Dependent Consensus for Second-Order Leader-Follower Nonlinear Multiagent Systems via Pinning Control
title_sort delay-distribution-dependent consensus for second-order leader-follower nonlinear multiagent systems via pinning control
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description This paper investigates the consensus problem for second-order leader-follower nonlinear multiagent systems with general network topologies. A pinning control algorithm is proposed, where it includes time-varying delay information. By using the information of delay-partition and delay-distribution and constructing an appropriate Lyapunov-Krasovskii functional, the consensus criteria are derived to achieve leader-follower consensus for multiagent systems, which are in the form of linear inequalities that can be solved by employing the semidefinite programme method. Moreover, this paper addresses what kind of agents and how many agents should be pinned. Two numerical examples are presented to further demonstrate the effectiveness of the proposed approach.
url http://dx.doi.org/10.1155/2013/621623
work_keys_str_mv AT hongjieli delaydistributiondependentconsensusforsecondorderleaderfollowernonlinearmultiagentsystemsviapinningcontrol
AT mingchen delaydistributiondependentconsensusforsecondorderleaderfollowernonlinearmultiagentsystemsviapinningcontrol
AT shigenshen delaydistributiondependentconsensusforsecondorderleaderfollowernonlinearmultiagentsystemsviapinningcontrol
AT linli delaydistributiondependentconsensusforsecondorderleaderfollowernonlinearmultiagentsystemsviapinningcontrol
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