State feedback stabilization of nonlinear discrete-time systems with time-varying time delay

• Published in: Nonlinear analysis Vol. 66; no. 6; pp. 1341 - 1350
• Main Author: Boukas, E.K.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 15.03.2007; Elsevier
• Subjects: Exact sciences and technology; Global analysis, analysis on manifolds; Mathematics; Sciences and techniques of general use; Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds; Time varying system; Feedback system; Discrete time systems; Nonlinear analysis; Delay system; Mathematical model; Non linear system; Feedback stabilization

This paper deals with the class of nonlinear 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 th...