✦ LIBER ✦

Quadratic stability and stabilization of uncertain linear discrete-time systems with state delay

✍ Scribed by Shengyuan Xu; James Lam; Chengwu Yang

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 98 KB
Volume: 43
Category: Article
ISSN: 0167-6911
DOI: 10.1016/s0167-6911(00)00113-4

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✦ Synopsis

This paper deals with the problem of quadratic stability analysis and quadratic stabilization for uncertain linear discretetime systems with state delay. The system under consideration involves state time delay and time-varying norm-bounded parameter uncertainties appearing in all the matrices of the state-space model. Necessary and su cient conditions for quadratic stability and quadratic stabilization are presented in terms of certain matrix inequalities, respectively. A robustly stabilizing state feedback controller can be constructed by using the corresponding feasible solution of the matrix inequalities. Two examples are presented to demonstrate the e ectiveness of the proposed approach.

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