|Table of Contents|

Consensus of Second-Order Multi-Agent Systems with Noises and Time Delays(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2017年02期
Page:
7-
Research Field:
·数学·
Publishing date:

Info

Title:
Consensus of Second-Order Multi-Agent Systems with Noises and Time Delays
Author(s):
Ye Zhiyong1Ji Huihui1Zhang He2Zhang Hua13
(1.Mathematics and Statistics Institute,Chongqing University of Technology,Chongqing 400054,China)(2.Mathematics and Statistics Institute,Baise University,Baise 533000,China)(3.Big Data Institute,Tongren University,Tongren 554300,China)
Keywords:
multi-agent systemsalmost sure exponential consensustime delaysstochastic disturbance
PACS:
O29
DOI:
10.3969/j.issn.1001-4616.2017.02.002
Abstract:
Almost sure exponential consensus of stochastic second-order multi-agent systems with time delays is studied. The multi-agent systems consider both the stochastic disturbance governed by Bronwian motion and the time delays. First of all,the error dynamic system of second-order multi-agent systems is established. Then by constructing suitable Lyapunov functional and combining with stochastic analysis theory,control technique as well as linear matrix inequality technique,as a result,the sufficient conditions for guaranteeing almost sure exponential consensus of the systems are derived. Last but not to the least,simulation examples are presented to demonstrate the effectiveness of the obtained results.

References:

[1] WANG Y,YAN W,LI J. Passivity-based formation control of autonomous underwater vehicles[J]. IET control theory and applications,2012,6(4):518-525.
[2]CORTéS J,BULLO F. Coordination and geometric optimization via distributed dynamical systems[J]. SIAM journal on control and optimization,2005,44(5):1 543-1 574.
[3]MARTIN S,GIRARD A,FAZELI A,et al. Multi-agent flocking under general communication rule[J]. IEEE transactions on control of network systems,2014,1(2):155-156.
[4]MUNZ U,PAPACHRISTODOULOU A,ALLGOWER F. Delay robustness in non-identical multi-agent systems[J]. IEEE transactions on automatic control,2012,57(6):1 597-1 603.
[5]CAI N,CAO J W,MA H Y,et al. Swarm stability analysis of nonlinear dynamical multi-agent systems via relative Lyapunov function[J]. Arabian journal for science and engineering,2014,39(3):2 427-2 434.
[6]WAN Y,CAO J. Distributed robust stabilization of linear multi-agent systems with intermittent control[J]. Journal of the franklin institute,2015,352(10):4 515-4 527.
[7]WANG Y,CAO J,HU J. Pinning consensus for multi-agent systems with non-linear dynamics and time-varying delay under directed switching topology[J]. IET control theory and applications,2014,8(17):1 931-1 939.
[8]HU A,CAO J,HU M,et al. Event-triggered consensus of Markovian jumping multi-agent systems via stochastic sampling[J]. IET control theory and applications,2015,9(13):1 964-1 972.
[9]YU W,CHEN G,CAO M,et al. Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics[J]. IEEE transactions on systems,man,and cybernetics,part B:cybernetics,2010,40(3):881-891.
[10]YU W,CHEN G,CAO M. Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems[J]. Automatica,2010,46(6):1 089-1 095.
[11]SONG Q,CAO J,YU W. Second-order leader-following consensus of nonlinear multi-agent systems via pinning control[J]. Systems and control letters,2010,59(9):553-562.
[12]YU W,ZHENG W X,CHEN G,et al. Second-order consensus in multi-agent dynamical systems with sampled position data[J]. Automatica,2011,47(7):1 496-1 503.
[13]LI T,ZHANG J F. Consensus conditions of multi-agent systems with time-varying topologies and stochastic communication noises[J]. IEEE transactions on automatic control,2010,55(9):2 043-2 057.
[14]LIU S,XIE L,ZHANG H. Distributed consensus for multi-agent systems with delays and noises in transmission channels[J]. Automatica,2011,47(5):920-934.
[15]MA C,LI T,ZHANG J. Consensus control for leader-following multi-agent systems with measurement noises[J]. Journal of systems science and complexity,2010,23(1):35-49.
[16]HU A,CAO J,HU M,et al. Event-triggered consensus of multi-agent systems with noises[J]. Journal of the franklin institute,2015,352(9):3 489-3 503.
[17]YE Z,ZHANG H,ZHANG H,et al. Mean square stabilization and mean square exponential stabilization of stochastic BAM neural networks with Markovian jumping parameters[J]. Chaos,solitons and fractals,2015,73:156-165.
[18]ZHAO H,DING N. Dynamic analysis of stochastic bidirectional associative memory neural networks with delays[J]. Chaos,solitons and fractals,2007,32(5):1 692-1 702.

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Last Update: 2017-06-30