New Result on Finite Time Stability of Fractional Order Nonlinear Delayed Systems

Abstract

Since Lyapunov method has not been well developed for fractionalorder systems, stability of fractionalorder nonlinear delayed systems remains a formidable problem. In this letter, finitetime stability of a class of fractionalorder nonlinear delayed systems with order between 0 and 1 is addressed. By using the technique of inequalities, a new and simple delayindependent sufficient condition guaranteeing stability of fractionalorder nonlinear delayed system over the finite time interval is obtained. Numerical examples are presented to demonstrate the validity and feasibility of the obtained results.