Mathematical Problems in Engineering 
Volume 2003 (2003), Issue 3, Pages 119-128
doi:10.1155/S1024123X03204014

Robust dissipativity for uncertain impulsive dynamical systems

Bin Liu,1,2 Xinzhi Liu,1,3 and Xiaoxin Liao1

 1Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China
2Department of Information and Computation Science, Zhuzhou Institute of Technology, Zhuzhou 412008, China
3Department of Applied Mathematics, University of Waterloo, Waterloo N2L 3G1, Ontario, Canada
Received 5 April 2002; Revised 30 May 2002

Abstract

We discuss the robust dissipativity with respect to the quadratic supply rate for uncertain impulsive dynamical systems. By employing the Hamilton-Jacobi inequality approach, some sufficient conditions of robust dissipativity for this kind of system are established. Finally, we specialize the obtained results to the case of uncertain linear impulsive dynamical systems.