Delay-dependent Robust Stability of Uncertain Discrete-Time Switched Systems

Changcheng Xiang, Shouming Zhong, Lianglin Xiong


This paper address the problems of robust stability for uncertain discrete-time switched systems. The uncertainty is assumed
to be of structured linear fractional from which includes the norm-bounded uncertainty as a special case. By
introducing a novel dierence inequality, new delay-dependent stability criteria are formulated in terms of linear matrix
inequalities(LMIs) which are not contained in known literature. Numerical examples are given to demonstrate the
eectiveness of the theoretical results.

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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