Practical h -stability behavior of time-varying nonlinear systems

Abir Kicha; Hanen Damak; Mohamed Ali Hammami

Commentationes Mathematicae Universitatis Carolinae (2023)

  • Volume: 64, Issue: 2, page 209-226
  • ISSN: 0010-2628

Abstract

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We deal with the problem of practical uniform h -stability for nonlinear time-varying perturbed differential equations. The main aim is to give sufficient conditions on the linear and perturbed terms to guarantee the global existence and the practical uniform h -stability of the solutions based on Gronwall’s type integral inequalities. Several numerical examples and an application to control systems with simulations are presented to illustrate the applicability of the obtained results.

How to cite

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Kicha, Abir, Damak, Hanen, and Hammami, Mohamed Ali. "Practical $h$-stability behavior of time-varying nonlinear systems." Commentationes Mathematicae Universitatis Carolinae 64.2 (2023): 209-226. <http://eudml.org/doc/299163>.

@article{Kicha2023,
abstract = {We deal with the problem of practical uniform $h$-stability for nonlinear time-varying perturbed differential equations. The main aim is to give sufficient conditions on the linear and perturbed terms to guarantee the global existence and the practical uniform $h$-stability of the solutions based on Gronwall’s type integral inequalities. Several numerical examples and an application to control systems with simulations are presented to illustrate the applicability of the obtained results.},
author = {Kicha, Abir, Damak, Hanen, Hammami, Mohamed Ali},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Gronwall’s inequality; perturbed system; practical $h$-stability},
language = {eng},
number = {2},
pages = {209-226},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Practical $h$-stability behavior of time-varying nonlinear systems},
url = {http://eudml.org/doc/299163},
volume = {64},
year = {2023},
}

TY - JOUR
AU - Kicha, Abir
AU - Damak, Hanen
AU - Hammami, Mohamed Ali
TI - Practical $h$-stability behavior of time-varying nonlinear systems
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2023
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 64
IS - 2
SP - 209
EP - 226
AB - We deal with the problem of practical uniform $h$-stability for nonlinear time-varying perturbed differential equations. The main aim is to give sufficient conditions on the linear and perturbed terms to guarantee the global existence and the practical uniform $h$-stability of the solutions based on Gronwall’s type integral inequalities. Several numerical examples and an application to control systems with simulations are presented to illustrate the applicability of the obtained results.
LA - eng
KW - Gronwall’s inequality; perturbed system; practical $h$-stability
UR - http://eudml.org/doc/299163
ER -

References

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