Journal
AUTOMATICA
Volume 44, Issue 11, Pages 2963-2967Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2008.04.017
Keywords
Delay-dependent stability; Discrete-time systems; Stabilization; Time-varying delays; Time-delayed controllers
Funding
- National Science Foundation for Distinguished Young Scholars of PR China [60625303]
- Doctoral Program of Higher Education [20060288021]
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This paper is concerned with the problem of delay-dependent stability analysis for discrete-time systems with interval-like time-varying delays and the problem of stabilization for discrete-time linear systems via time-delayed controllers. The first problem is solved by applying a novel Lyapunov functional. and an improved delay-dependent stability criterion is obtained in terms of a linear matrix inequality. Based on this, a sufficient condition for the solvability of the second problem is presented. The reduced conservatism of the proposed stability result is shown through a numerical example, while the applicability of the time-delayed controller design method is demonstrated by an inverted pendulum system. (D) 2008 Elsevier Ltd. All rights reserved.
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