Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
696606 | Automatica | 2013 | 6 Pages |
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.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Jimin Yu, Hua Hu, Shangbo Zhou, Xiaoran Lin,