ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

A Separation Principle of Time-varying Nonlinear Dynamical Systems


H. Damak

University of Sfax Tunisia

I. Ellouze

University of Sfax Tunisia

M. A. Hammami

University of Sfax Tunisia


This paper deals with the separation principle for a class of nonlinear dynamical systems whose dynamics are in general bounded in time. The resultant observer-based state feedback control guarantee the convergence of solutions toward a small neighborhood of the origin of the state oscillation given that the system is both uniformly controllable and observable. An example in dimentional two is given to illustrate the applicability of our result.


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