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Parameter-dependent Robust Stability of Uncertain Singular Systems with Time-varying Delays  

Kim, Jong-Hae (Department of Electronic Eng., Sun Moon University)
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Abstract
In this paper, we present a new delay-dependent and parameter-dependent robust stability condition for uncertain singular systems with polytopic parameter uncertainties and time-varying delay. The robust stability criterions based on parameter-dependent Lyapunov function are expressed as LMI (linear matrix inequality). Moreover, the proposed robust stability condition is a general algorithm for both singular systems and non-singular systems. Finally, numerical examples are presented to illustrate the feasibility and less conservativeness of the proposed method.
Keywords
Singular systems; robust stability; delay-dependence; parameter-dependence; LMI;
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