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

Title:

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

Creator:

Ezzine, Faten and Hammami, Mohamed Ali

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:87c2da28-106b-4013-89c2-ca15feb5681f
uuid:87c2da28-106b-4013-89c2-ca15feb5681f
doi:10.14736/kyb-2022-1-0001

Subject:

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

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/licenses/by-nc-sa/4.0/
policy:public

Coverage:

1-24

Source:

Kybernetika | 2022 Volume:58 | Number:1

Harvested from:

CDK

Metadata only:

false