Contribution to finite time stability analysis of nonlinear fractional order time delay systems: Bellman-Gronwall approach

Abstract

In this paper, new stability criteria for this class of fractional order systems were derived by applying generalized Gronwall inequality where robust finite-time stability analysis for a class of perturbed nonlinear fractional order systems with time invariant delay was considered. Sufficient conditions of this kind of stability are obtained for previously considered fractional differential system given in state space form. In that way, one can check system stability over finite time interval.