Leader-Following Consensus of Fractional Nonlinear Multiagent Systems

Leader-Following Consensus of Fractional Nonlinear Multiagent Systems

The leader-following consensus of fractional nonlinear multiagent systems is investigated over an undirected fixed interaction graph. Mittag-Leffler stability and the fractional Lyapunov direct method are firstly introduced into the fractional multiagent systems. The sufficient conditions are given...

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Main Authors: Guojian Ren, Yongguang Yu, Shuo Zhang
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2015/919757
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spelling doaj-62a1cff56b7847cc9c29841e0d2e19642020-11-25T00:10:17ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472015-01-01201510.1155/2015/919757919757Leader-Following Consensus of Fractional Nonlinear Multiagent SystemsGuojian Ren0Yongguang Yu1Shuo Zhang2Department of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaThe leader-following consensus of fractional nonlinear multiagent systems is investigated over an undirected fixed interaction graph. Mittag-Leffler stability and the fractional Lyapunov direct method are firstly introduced into the fractional multiagent systems. The sufficient conditions are given to guarantee that the leader-following consensus can be achieved in the systems with both single-integrator dynamics and double-integrator dynamics. Finally, the numerical simulations are given to verify the correctness of the presented theory.http://dx.doi.org/10.1155/2015/919757
collection DOAJ
language English
format Article
sources DOAJ
author Guojian Ren
Yongguang Yu
Shuo Zhang
spellingShingle Guojian Ren
Yongguang Yu
Shuo Zhang
Leader-Following Consensus of Fractional Nonlinear Multiagent Systems
Mathematical Problems in Engineering
author_facet Guojian Ren
Yongguang Yu
Shuo Zhang
author_sort Guojian Ren
title Leader-Following Consensus of Fractional Nonlinear Multiagent Systems
title_short Leader-Following Consensus of Fractional Nonlinear Multiagent Systems
title_full Leader-Following Consensus of Fractional Nonlinear Multiagent Systems
title_fullStr Leader-Following Consensus of Fractional Nonlinear Multiagent Systems
title_full_unstemmed Leader-Following Consensus of Fractional Nonlinear Multiagent Systems
title_sort leader-following consensus of fractional nonlinear multiagent systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2015-01-01
description The leader-following consensus of fractional nonlinear multiagent systems is investigated over an undirected fixed interaction graph. Mittag-Leffler stability and the fractional Lyapunov direct method are firstly introduced into the fractional multiagent systems. The sufficient conditions are given to guarantee that the leader-following consensus can be achieved in the systems with both single-integrator dynamics and double-integrator dynamics. Finally, the numerical simulations are given to verify the correctness of the presented theory.
url http://dx.doi.org/10.1155/2015/919757
work_keys_str_mv AT guojianren leaderfollowingconsensusoffractionalnonlinearmultiagentsystems
AT yongguangyu leaderfollowingconsensusoffractionalnonlinearmultiagentsystems
AT shuozhang leaderfollowingconsensusoffractionalnonlinearmultiagentsystems
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