Robust stabilization of linear differential inclusion system with time delay

Authors:
Leipo Liu;Zhengzhi Han;Xiushan Cai;Jun Huang
Affiliations:
School of Electrical and Information Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;School of Electrical and Information Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China;School of Electrical and Information Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
Venue:
Mathematics and Computers in Simulation
Year:
2010

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Abstract

This paper is concerned with robust stabilization of linear differential inclusion systems with time delay. A nonlinear feedback law is established by using convex hull quadratic Lyapunov functions to make the state exponentially stable. An example is given to illustrate the effectiveness of the proposed method.