Stabilization of complex switched networks with two types of delays via impulsive control

Authors:
Meng Yang;Yan-Wu Wang;Hua O. Wang;Hiroshi Ohtake;Kazuo Tanaka;Jiang-Wen Xiao
Affiliations:
Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, P.R.China;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, P.R.China and Department of Mechanical Engineering, Boston University, Boston, MA;Department of Mechanical Engineering, Boston University, Boston, MA;Dept. of Mechanical Engineering and Intelligent Systems, The University of Electro-Communications, Chofu, Tokyo, Japan;Dept. of Mechanical Engineering and Intelligent Systems, The University of Electro-Communications, Chofu, Tokyo, Japan;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, P.R.China
Venue:
ACC'09 Proceedings of the 2009 conference on American Control Conference
Year:
2009

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Abstract

This paper presents a general complex switched network (CSN) model that contains switching behaviors in both its nodes and topology configuration. Stabilization of such directed time-varying CSNs with two types of delays is investigated. The two types of delays consist of the system delay at each node and the coupling time-delay between nodes. Based on the Lyapunov stability theory, delay independent stabilizing conditions for CSNs with both types of delays are obtained via impulsive control. A numerical example is provided for illustration.