FINITE-TIME STABILITY RESULTS FOR FRACTIONAL DAMPEDDYNAMICAL SYSTEMS WITH TIME DELAYS

Abstract

This paper is explored with the stability procedure for linear nonautonomous multitermfractional damped systems involving time delay. Finite-time stability (FTS) criteria have beendeveloped based on the extended form of Gronwall inequality. Also, the result is deduced to a linearautonomous case. Two examples of applications of stability analysis in numerical formulation aredescribed showing the expertise of theoretical prediction.