Kybernetika 53 no. 2, 331-353, 2017

New criterion for asymptotic stability of time-varying dynamical systems

Taoufik Ghrissi, Mohamed Ali Hammami, Mekki Hammi and Mohamed MabroukDOI: 10.14736/kyb-2017-2-0331

Abstract:

In this paper, we establish some new sufficient conditions for uniform global asymptotic stability for certain classes of nonlinear systems. Lyapunov approach is applied to study exponential stability and stabilization of time-varying systems. Sufficient conditions are obtained based on new nonlinear differential inequalities. Moreover, some examples are treated and an application to control systems is given.

Keywords:

asymptotic stability, stabilization, nonlinear time-varying systems

Classification:

93Cxx, 93Dxx

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