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ON PRACTICAL STABILITY OF TIME SCALE PERTURBED SYSTEMS
Journal article   Peer reviewed

ON PRACTICAL STABILITY OF TIME SCALE PERTURBED SYSTEMS

Bacem Ben Nasser and Mohamed Ali Hammami
Journal of dynamical systems and geometric theories, Vol.12(1), pp.51-67
02/01/2014

Abstract

Mathematics Physical Sciences Science & Technology
This work addresses the problem of uniform practical exponential stability for nonlinear perturbed systems on time scales. Based on Lyapunov techniques and LMI's approach, new sufficient conditions are derived, to find the positive definite function which the derivative is negative definite and provides the uniform practical asymptotic aspect for the system. We present numerical examples to illustrate the proposed result.

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