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

Faten Ezzine; Mohamed Ali Hammami

Kybernetika (2022)

  • Volume: 58, Issue: 1, page 1-24
  • ISSN: 0023-5954

Abstract

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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.

How to cite

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Ezzine, Faten, and Hammami, Mohamed Ali. "Growth conditions for the stability of a class of time-varying perturbed singular systems." Kybernetika 58.1 (2022): 1-24. <http://eudml.org/doc/297666>.

@article{Ezzine2022,
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.},
author = {Ezzine, Faten, Hammami, Mohamed Ali},
journal = {Kybernetika},
keywords = {linear time–varying singular systems; standard canonical form; consistent initial conditions; Gronwall inequalities; Lyapunov techniques; practical exponential stability},
language = {eng},
number = {1},
pages = {1-24},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Growth conditions for the stability of a class of time-varying perturbed singular systems},
url = {http://eudml.org/doc/297666},
volume = {58},
year = {2022},
}

TY - JOUR
AU - Ezzine, Faten
AU - Hammami, Mohamed Ali
TI - Growth conditions for the stability of a class of time-varying perturbed singular systems
JO - Kybernetika
PY - 2022
PB - Institute of Information Theory and Automation AS CR
VL - 58
IS - 1
SP - 1
EP - 24
AB - 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.
LA - eng
KW - linear time–varying singular systems; standard canonical form; consistent initial conditions; Gronwall inequalities; Lyapunov techniques; practical exponential stability
UR - http://eudml.org/doc/297666
ER -

References

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