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

✍ Scribed by E.K. Boukas

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
218 KB
Volume
66
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 this class of systems are developed. A control design algorithm is also provided for determining the state feedback controller gain. All the results developed in this paper are in the LMI formalism which makes it easier to obtain them using existing tools. A numerical example is provided to show the effectiveness of the results established.

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