Finite Time Stability Criteria for Nonlinear Fractional Order Dynamical System

Abstract

In this paper finite time stability criteria for a class of nonlinear fractional order delayed system is addressed. By using the generalized and classical Bellman-Gronwall’s approach sufficient conditions that guarantees system trajectories to stay within the a priori given set is obtained.

Keywords: Nonlinear system, multiple time delays, Finite time stability, fractional order system