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Robust Stability of State Delayed Systems with Ploytopic Type Uncetainties Via Parameter-Dependent Lyapunov Functionals
Received date: 2002-06-27
Revised date: 2002-09-27
Online published: 2003-05-10
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
XIA YuanQing , HAN JingQing . Robust Stability of State Delayed Systems with Ploytopic Type Uncetainties Via Parameter-Dependent Lyapunov Functionals[J]. Journal of University of Chinese Academy of Sciences, 2003 , 20(3) : 283 -289 . DOI: 10.7523/j.issn.2095-6134.2003.3.004
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