MMN-3226
On the practical ψ^γ-exponential asymptotic stability of nonlinear systems of differential equations
B. Ghanmi; T. Fajraoui; I. Basdouri;Abstract
In this paper, a new type of stability for nonlinear systems of differential equations called practical \Psi^{\gamma}-exponential asymptotic stability, is presented. Some sufficient conditions for practical \Psi^{\gamma}-exponential asymptotic stability are provided by using Lyapunov theory. These results generalize fundamental well known results for practical exponential asymptotic and \Psi^{\gamma}-xponential
asymptotic stability for nonlinear time-varying systems. In addition, these results are using to investigate the practical \Psi^{\gamma}-exponential asymptotic stability problem of nonlinear perturbed system and cascade systems. The last part is devoted to the study the problem of practical \Psi^{\gamma}-exponential asymptotic stabilization for some classes of nonlinear systems with delayed perturbation.
Vol. 21 (2020), No. 2, pp. 841-860