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On the Stability and Stabilization of Parameter Dependent Perturbed Systems

Commun. Math. Anal.
Volume 9, Number 2 (2010), 130 - 148

On the Stability and Stabilization of Parameter Dependent Perturbed Systems

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Abstract

We treat in this paper the problem of stability of a class of parameter dependent perturbed systems. Furthermore, the problem of stabilization using an estimated state feedback is developed. Under some sufficient conditions, we construct, first, an observer which provides an estimation of the state, then we consider the system in closed loop by the state estimated feedback. The results of this paper are illustrated by numerical examples.