NEW RESULTS ON FINITE-TIME STABILITY FOR NONLINEAR FRACTIONAL ORDER LARGE SCALE SYSTEMS WITH TIME VARYING DELAY AND INTERCONNECTIONS

Abstract

This paper investigates finite-time stability problem of a class of interconnected fractional order large-scale systems with time-varying delays and nonlinear perturbations. Based on a generalized Gronwall inequality, a sufficient condition for finite-time stability of such systems is established in terms of the Mittag-Leffler function. The obtained results are applied to finite-time stability of linear uncertain fractional order large-scale systems with time-varying delays and linear non autonomous fractional order large-scale systems with time-varying delays.