On robust stability for uncertain time-delay systems : A polyhedral Lyapunov-Krasovskii approach

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Guan, Xinping, Chen, Cailian and Shi, Peng (2005) On robust stability for uncertain time-delay systems : A polyhedral Lyapunov-Krasovskii approach. Circuits, Systems and Signal Processing, 24 (1). pp. 1-18. ISSN 0278-081X


In this paper, the problem of robust stability for a class of time-delay systems is investigated. The uncertainties possessed in the systems are assumed to be time invariant and belong to a convex bounded polytopic domain. For comparison, both single polyhedral and double polyhedral Lyapunov functionals are defined according to the form of a Lyapunov–Krasovskii functional. Robust stability results are obtained by using the double polyhedral Lyapunov functional approach. Also, for a known convex uncertainty subdomain, two equivalent conditions are presented. All established stability conditions are expressed in terms of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness and usefulness of the main theoretic results.

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Item type Article
URI https://vuir.vu.edu.au/id/eprint/8447
DOI 10.1007/s00034-004-3060-1
Official URL http://dx.doi.org/10.1007/s00034-004-3060-1
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > Faculty/School/Research Centre/Department > Institute for Logistics and Supply Chain Management (ILSCM)
Keywords ResPubID19004, time-delay system, convex polytopic uncertainty, robust stability, double polyhedral Lyapunov functional
Citations in Scopus 8 - View on Scopus
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