Generalized Mittag-Leffler stability of multi-variables fractional order nonlinear systems

Authors:
Jimin Yu;Hua Hu;Shangbo Zhou;Xiaoran Lin
Affiliations:
-;-;-;-
Venue:
Automatica (Journal of IFAC)
Year:
2013

Citing 5
Cited 0

Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering

Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering
Technical communique: Mittag-Leffler stability of fractional order nonlinear dynamic systems

Automatica (Journal of IFAC)
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Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability

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A Lyapunov approach to the stability of fractional differential equations

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Abstract

In this paper, the stability of multi-variable fractional order nonlinear dynamic system is investigated. We propose the definition of generalized Mittag-Leffler stability with multi-variable and introduce the fractional Lyapunov direct method with multi-variable. Meanwhile, a novel approach is suggested to study generalized Mittag-Leffler stability in multi-variable fractional order nonlinear dynamic systems. An interesting multi-variable fractional order Lotka-Volterra predator-prey model is used to illustrate the proposed method and its effectiveness.