Input-to-state practical partial stability of nonautonomous nonlinear systems

Abdelfettah Hamzaoui, Nizar Hadj Taieb, Mohamed Ali Hammami

Abstract


This paper deals with the asymptotic behaviors of solutions of nonautonomous nonlinear systems with respect a part of variables. We investigate the practical partial stability for a wide class of nonlinear time-varying systems. The study is based on the application of the Lyapunov indirect approach by using some new growth sufficient conditions which give rise to new classes of systems in presence of perturbations. Moreover, by utilizing scalar stable functions, the analysis achieves both asymptotic and input-to-state practical partial stability of a large class of nonlinear systems. The efficacy of the presented theorems is demonstrated through numerous numerical examples.

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References


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DOI: https://doi.org/10.52846/ami.v53i1.2027