Third-Order Leader-Following Consensus in a Nonlinear Multiagent Network via Impulsive Control

Many facts indicate that the impulsive control method is a finer method, which is simple, efficient, and low in cost, for achieving consensus. In this paper, based on graph theory, Lyapunov stability theory, and matrix theory, a novel impulsive control protocol is given to realize the consensus of t...

Full description

Saved in:
Bibliographic Details
Main Authors: Xiaomei Li, Zhongjun Ma, Chunhai Li, Jinde Cao
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/612342
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1850235138418409472
author Xiaomei Li
Zhongjun Ma
Chunhai Li
Jinde Cao
author_facet Xiaomei Li
Zhongjun Ma
Chunhai Li
Jinde Cao
author_sort Xiaomei Li
collection DOAJ
description Many facts indicate that the impulsive control method is a finer method, which is simple, efficient, and low in cost, for achieving consensus. In this paper, based on graph theory, Lyapunov stability theory, and matrix theory, a novel impulsive control protocol is given to realize the consensus of the multiagent network. Numerical simulations are performed to verify the theoretical results.
format Article
id doaj-art-1b58c8b9ec2c4d7aaede4038ffddb900
institution OA Journals
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-1b58c8b9ec2c4d7aaede4038ffddb9002025-08-20T02:02:24ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/612342612342Third-Order Leader-Following Consensus in a Nonlinear Multiagent Network via Impulsive ControlXiaomei Li0Zhongjun Ma1Chunhai Li2Jinde Cao3School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, ChinaDepartment of Mathematics, Southeast University, Nanjing 210096, ChinaMany facts indicate that the impulsive control method is a finer method, which is simple, efficient, and low in cost, for achieving consensus. In this paper, based on graph theory, Lyapunov stability theory, and matrix theory, a novel impulsive control protocol is given to realize the consensus of the multiagent network. Numerical simulations are performed to verify the theoretical results.http://dx.doi.org/10.1155/2013/612342
spellingShingle Xiaomei Li
Zhongjun Ma
Chunhai Li
Jinde Cao
Third-Order Leader-Following Consensus in a Nonlinear Multiagent Network via Impulsive Control
Abstract and Applied Analysis
title Third-Order Leader-Following Consensus in a Nonlinear Multiagent Network via Impulsive Control
title_full Third-Order Leader-Following Consensus in a Nonlinear Multiagent Network via Impulsive Control
title_fullStr Third-Order Leader-Following Consensus in a Nonlinear Multiagent Network via Impulsive Control
title_full_unstemmed Third-Order Leader-Following Consensus in a Nonlinear Multiagent Network via Impulsive Control
title_short Third-Order Leader-Following Consensus in a Nonlinear Multiagent Network via Impulsive Control
title_sort third order leader following consensus in a nonlinear multiagent network via impulsive control
url http://dx.doi.org/10.1155/2013/612342
work_keys_str_mv AT xiaomeili thirdorderleaderfollowingconsensusinanonlinearmultiagentnetworkviaimpulsivecontrol
AT zhongjunma thirdorderleaderfollowingconsensusinanonlinearmultiagentnetworkviaimpulsivecontrol
AT chunhaili thirdorderleaderfollowingconsensusinanonlinearmultiagentnetworkviaimpulsivecontrol
AT jindecao thirdorderleaderfollowingconsensusinanonlinearmultiagentnetworkviaimpulsivecontrol