Geodesic
Growth conditions for the stability of a class of time-varying perturbed singular systems
Kybernetika, Tome 58 (2022) no. 1, pp. 1-24.

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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 example to validate the effectiveness of the abstract results of this paper.
DOI : 10.14736/kyb-2022-1-0001
Classification : 34D20, 37B55
Keywords: linear time–varying singular systems; standard canonical form; consistent initial conditions; Gronwall inequalities; Lyapunov techniques; practical exponential stability 
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Ezzine, Faten; Hammami, Mohamed Ali. Growth conditions for the stability of a class of time-varying perturbed singular systems. Kybernetika, Tome 58 (2022) no. 1, pp. 1-24. doi : 10.14736/kyb-2022-1-0001. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2022-1-0001/

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