Feedback stabilization of dissipative impulsive dynamical systems

Authors:
Bin Liu;Xinzhi Liu;Kok Lay Teo
Affiliations:
College of Science, Chongqing Jiaotong University, Chongqing 400074, China;Department of Applied Mathematics, University of Waterloo, Waterloo, Ont., Canada N2L 3G1;Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA, Australia
Venue:
Information Sciences: an International Journal
Year:
2007

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Abstract

In this paper, we derive conditions under which a dissipative impulsive dynamical system is asymptotically stabilizable by a feedback controller. Specializing the obtained results to the case of dissipative linear impulsive dynamical systems with the quadratic supply rate, we establish the corresponding sufficient conditions. Finally, simulation results are given to demonstrate the effectiveness of our results.