Title of article :
Non-existence of finite-time stable equilibria in fractional-order nonlinear systems
Author/Authors :
Shen، نويسنده , , Jun and Lam، نويسنده , , James، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2014
Pages :
5
From page :
547
To page :
551
Abstract :
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.
Keywords :
Equilibria , Fractional-order nonlinear system , Finite-time stability , Linear Lyapunov function
Journal title :
Automatica
Serial Year :
2014
Journal title :
Automatica
Record number :
1449663
Link To Document :
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