Geodesic
New criterion for asymptotic stability of time-varying dynamical systems
Kybernetika, Tome 53 (2017) no. 2, pp. 331-353 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.14736/kyb-2017-2-0331
Classification : 93Cxx, 93Dxx
Keywords: nonlinear time-varying systems; asymptotic stability; stabilization 
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Ghrissi, Taoufik; Hammami, Mohamed Ali; Hammi, Mekki; Mabrouk, Mohamed. New criterion for asymptotic stability of time-varying dynamical systems. Kybernetika, Tome 53 (2017) no. 2, pp. 331-353. doi: 10.14736/kyb-2017-2-0331

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