ON FINITE-TIME STABILITY OF NONLINEAR FRACTIONAL-ORDER SYSTEMS WITH IMPULSES AND MULTI-STATE TIME DELAYS

Abstract

This work concentrates on the finite-time stability (FTS) analysis of fractional-order systems (FOS) with impulsive effects and multi-state time delays. The condition which give assurance for FTS of nonlinear FOS having impulsive behavior and multi-state time delay are derived by utilizing the generalization of Gronwall’s inequality (GI). At last, two numerical examples are given which provide the accuracy of the given result.