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|Title:||Robust stabilization for arbitrarily switched linear systems with time-varying delays and uncertainties|
|Citation:||Proceedings of the 47th IEEE Conference on Decision and Control, 2008 / pp.5336-5341|
|Conference Name:||47th IEEE Conference on Decision and Control (CDC) (09 Dec 2008 - 11 Dec 2008 : Cancun, Mexico)|
|Lixian Zhang, Peng Shi, Michael Basin|
|Abstract:||This paper studies the robust stability and stabilization problems for switched linear discrete-time systems. The parameter uncertainties in the system under consideration are time-varying but norm-bounded, and the time delay is assumed to be time-varying and bounded, which covers the constant and mode-dependent constant delays as special cases. First, sufficient conditions are derived to guarantee the stability of the uncertain system. Then, a control law is designed so that the resulting closed-loop system is stable for all admissible uncertainties. A linear matrix inequality (LMIs) approach, together with a cone complementary linearization algorithm, is proposed to solve the above problems. A numerical example is given to show the potential applicability of the obtained theoretic results.|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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