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On analysis of discrete singularly perturbed non-linear systems: Application to the study of stability properties

✍ Scribed by R. Bouyekhf; A. El Moudni

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 635 KB
Volume: 334
Category: Article
ISSN: 0016-0032
DOI: 10.1016/s0016-0032(96)00076-2

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✦ Synopsis

Recently we have introduced a model of singular perturbation for discrete-time nonlinear systems. This paper is aimed at validating the proposed model. In fact, a discrete version of the well-known Tikhonov 3' theorem on singular perturbation of continuous-time systems is established. The second aim is to study stability problems of such systems. SuJficient conditions for both asymptotic and exponential stability are obtained. As a result, significant order reduction of stability problems is achieved. This" is achieved by allowing a small parameter whose upper bound is estimated. Finally a simple example is given to illustrate the applications of the results.

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