Discrete-time systems with time-varying time delay: Stability and stabilizability
Open Access
- 11 April 2006
- journal article
- research article
- Published by Hindawi Limited in Mathematical Problems in Engineering
- Vol. 2006, 1-10
- https://doi.org/10.1155/mpe/2006/42489
Abstract
This paper deals with the class of linear discrete-time systems with varying time delay. The problems of stability and stabilizability for this class of systems are considered. Given an upper bound and a lower bound on the time-varying delay, sufficient conditions for checking the stability of this class of systems are developed. A control design algorithm is also provided. All the results developed in this paper are in the LMI formalism which makes their solvability easier using existing tools. A numerical example is provided to show the effectiveness of the established results.Keywords
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