Robust stabilization of uncertain impulsive switched systems with delayed control

Authors:
Honglei Xu;Kok Lay Teo
Affiliations:
Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia and Department of Mathematics, Guizhou University, Guiyang, 550025, China;Department of Mathematics and Statistics, Curtin University of Technology, Perth, WA 6845, Australia
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

In this paper, stability criteria and switching controllers' design problems for uncertain impulsive switched systems with input delay are investigated by using the receding horizon method. Some LMI conditions are derived to guarantee asymptotical stability of an impulsive switched system under a certain designed delayed controller. Finally, a numerical example is presented to illustrate the effectiveness of the results obtained.