Finite-time stability results for fractional damped dynamical systems with time delays

Abstract

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

Keywords

• damped system
• fractional order
• finite-time stability
• time delay