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

By El Kebir Boukas. 2006

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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.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/f10e92ef79e9ded6374b8b7d4a99e69d7851d0bd