Kybernetika 58 no. 1, 1-24, 2022

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

Faten Ezzine and Mohamed Ali HammamiDOI: 10.14736/kyb-2022-1-0001

Abstract:

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 example to validate the effectiveness of the abstract results of this paper.

Keywords:

linear time-varying singular systems, standard canonical form, consistent initial conditions, Gronwall inequalities, Lyapunov techniques, practical exponential stability

Classification:

37B55, 34D20

paper.pdf

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