Discrete-time systems with time-varying time delay: Stability and stabilizability

El-Kébir Boukas

Mathematical Problems in Engineering, 2006, vol. 2006, 1-10

Abstract:

This paper deals with the class of linear discrete-time systemswith varying time delay. The problems of stability andstabilizability for this class of systems are considered. Given anupper bound and a lower bound on the time-varying delay,sufficient conditions for checking the stability of this class ofsystems are developed. A control design algorithm is alsoprovided. All the results developed in this paper are in the LMIformalism which makes their solvability easier using existingtools. A numerical example is provided to show the effectivenessof the established results.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:042489

DOI: 10.1155/MPE/2006/42489

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