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Third-order leader-following consensus with circumstance noise under impulsive and switching control

Mei Sun (), Dun Han (), Dandan Li (), Qiang Jia () and Yaqi Wang
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Mei Sun: Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China
Dun Han: Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China
Dandan Li: Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China
Qiang Jia: Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China
Yaqi Wang: Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang, Jiangsu 212013, P. R. China

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 08, 1-14

Abstract: This research is aimed at investigating the leader–follower problem of third-order multi-agent with noise perturbation over fixed network under impulsive and switching control. Based on stochastic differential equation theory and hybrid control theory, effective impulsive and switching controllers are proposed, and the sufficient conditions for reaching multi-agent leader-following consensus are acquired. Numerical simulations verify the validity of the theoretical research results.

Keywords: Third-order multi-agent; hybrid control; impulsive; switching; noise; 02.30.Yy; 89.75.-k (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183114500260

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