Global stabilization of a class of delay discrete-time nonlinear systems via state and output feedback |
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Authors: | Kheir Eddine Bouazza Mohammed Ouali |
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Affiliation: | 1. Department of Computer Science, University College in Al Jamoom, Umm Al-Qura University, Al Jamoom, Saudi Arabia 3. Laboratoire d’Informatique et des Technologies de l’Information d’Oran (LITIO), University of Oran, Oran, Algeria 2. Department of Computer Science, College of Sciences, Oran University, Oran, Algeria
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Abstract: | This paper deals with stabilization of a class of delay discrete-time nonlinear systems through state and output feedback. We provide an explicit bounded state feedback law as an extension of the Jurdjevic-Quinn method, from nonlinear theory, to this class of systems. Next, we present a useful and systematic approach to design an observer for the same class of systems. Then, we show how the global stabilization problem via dynamic output feedback can be solved by using the two previous results. Finally, numerical examples are given to illustrate the effectiveness of the proposed design method. |
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