Technical communique: Mittag-Leffler stability of fractional order nonlinear dynamic systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Computers & Mathematics with Applications
LMI stability conditions for fractional order systems
Computers & Mathematics with Applications
Technical communique: A note on fractional-order derivatives of periodic functions
Automatica (Journal of IFAC)
NIST Handbook of Mathematical Functions
NIST Handbook of Mathematical Functions
Brief paper: Pseudo-state feedback stabilization of commensurate fractional order systems
Automatica (Journal of IFAC)
Hi-index | 22.14 |
We note that in the literature it is often taken for granted that for fractional-order system without delays, whenever the system trajectory reaches the equilibrium, it will stay there. In fact, this is the well-known phenomenon of finite-time stability. However, in this paper, we will prove that for fractional-order nonlinear system described by Caputo's or Riemann-Liouville's definition, any equilibrium cannot be finite-time stable as long as the continuous solution corresponding to the initial value problem globally exists. In addition, some examples of stability analysis are revisited and linear Lyapunov function is used to prove the asymptotic stability of positive fractional-order nonlinear systems.