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
Abstract
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 |
| Download/View statistics | View download statistics for this item |
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