loading page

Lyapunov stability analysis of Caputo fractional-order nonlinear systems
  • +1
  • Imed Basdouri,
  • Souad Kasmi,
  • Fahmi Mabrouk,
  • Rim Messaoud
Imed Basdouri
University of Gafsa Faculty of Sciences of Gafsa
Author Profile
Souad Kasmi
Universite de Sfax Faculte des Sciences de Sfax
Author Profile
Fahmi Mabrouk
Universite de Sfax Faculte des Sciences de Sfax
Author Profile
Rim Messaoud
Universite de Gafsa Faculte des Sciences de Gafsa
Author Profile

Abstract

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.