Displaying similar documents to “Stability of retarded systems with slowly varying coefficient”

Stability of retarded systems with slowly varying coefficient

Michael Iosif Gil (2012)

ESAIM: Control, Optimisation and Calculus of Variations

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The “freezing” method for ordinary differential equations is extended to multivariable retarded systems with distributed delays and slowly varying coefficients. Explicit stability conditions are derived. The main tool of the paper is a combined usage of the generalized Bohl-Perron principle and norm estimates for the fundamental solutions of the considered equations.

New criterion for asymptotic stability of time-varying dynamical systems

Taoufik Ghrissi, Mohamed Ali Hammami, Mekki Hammi, Mohamed Mabrouk (2017)

Kybernetika

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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.

Growth conditions for the stability of a class of time-varying perturbed singular systems

Faten Ezzine, Mohamed Ali Hammami (2022)

Kybernetika

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In this paper, we investigate the problem of stability of linear time-varying singular systems, which are transferable into a standard canonical form. Sufficient conditions on exponential stability and practical exponential stability of solutions of linear perturbed singular systems are obtained based on generalized Gronwall inequalities and Lyapunov techniques. Moreover, we study the problem of stability and stabilization for some classes of singular systems. Finally, we present a numerical...

Stability of perturbed delay homogeneous systems depending on a parameter

Ines Ben Rzig, Thouraya Kharrat (2021)

Kybernetika

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In this paper, we analyze the stability of homogeneous delay systems based on the Lyapunov Razumikhin function in the presence of a varying parameter. In addition, we show the stability of perturbed time delay systems when the nominal part is homogeneous.