Lyapunov stability analysis of Caputo fractional-order nonlinear systems
- Imed Basdouri,
- Souad Kasmi,
- Fahmi Mabrouk,
- Rim Messaoud
Imed Basdouri
University of Gafsa Faculty of Sciences of Gafsa
Corresponding Author:basdourimed@yahoo.fr
Author ProfileSouad Kasmi
Universite de Sfax Faculte des Sciences de Sfax
Author ProfileFahmi Mabrouk
Universite de Sfax Faculte des Sciences de Sfax
Author ProfileRim Messaoud
Universite de Gafsa Faculte des Sciences de Gafsa
Author ProfileAbstract
This paper deals with the stability analysis of the fractional nonlinear
systems. It treats the asymptotic stability of the fractional nonlinear
systems with Hurwitz state matrix, using the Lyapunov direct method. We
give algebraic conditions under which the fractional nonlinear systems
are asymptotical stable. Two numerical examples are provided to
illustrate the proposed theoretical results.
