Finite-time stability of linear fractional-order time-delay systems

Abstract

In this paper, a finite-time stability results of linear delay fractional-order systems is investigated based on the generalized Gronwall inequality and the Caputo fractional derivative. Sufficient conditions are proposed to the finite-time stability of the system with the fractional order. Numerical results are given and compared with other published data in the literature to demonstrate the validity of the proposed theoretical results.