Robust Stability of State Delayed Systems with Ploytopic Type Uncetainties Via Parameter-Dependent Lyapunov Functionals

doi:10.7523/j.issn.2095-6134.2003.3.004

Abstract

Abstract:

The problem of robust stability for linear systems with a constant time-delay in the state and subject to real convex polytopic uncertainty is considered.First of all, for robust stability, new matrix inequalities characterization of delay-dependent quadratic stability results were exploited to demonstrate that it allows the use of parameter-dependent Lyapunov functionals in comparison to the classical one,whose drawback stands in the use of a single Lyapunov function to assess the stability over the whole uncertainty domain.Next, the problem of determining the maximum time-delay under which the system will remain stable is cast into a generalized eigenvalue problem and thus solved by LMI techniques.Finally, an illustrative example is given to demonstrate the effectiveness of the proposed method.

Key words: time-delay systems, uncertain systems, robust stability, LMI

CLC Number:

O231

XIA YuanQing, HAN JingQing. Robust Stability of State Delayed Systems with Ploytopic Type Uncetainties Via Parameter-Dependent Lyapunov Functionals[J]. , 2003, 20(3): 283-289.

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