Finite Time Partial Stability of Fractional Order Time Delay Systems

Abstract

This paper proposes sufficient conditions for finite time stability for the (non)homogeneous fractional order systems with time delay. Specially, the problem of finite time stability with respect to some of the variables (partial stability) is considered. New stability criteria for this class of fractional order systems were derived using a recently obtained generalized Gronwall inequality as well as “classical” Bellman-Gronwall inequality. Last, a numerical example is provided to illustrate the application of the proposed stability procedure.