Further Results on Finite Time Partial Stability of Fractional Order Time Delay Systems

This paper proposes sufficient conditions for finite time partial stability for the (non)homogeneous fractional order systems with time varying delay. New stability criteria for this class of fractional order systems are derived using “classical” Bellman-Gronwall inequality as well as a suitable “fractional” inequality instead of generalized Gronwall inequality. Finally, a numerical example is given to illustrate the application of the proposed stability procedure.