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

Nonlinear Analysis

Dumitru Baleanu¹  Ganesan Arthi²  Nallasamy Brindha² 

[1] Cankaya University;PSGR Krishnammal College for Women;

关键词: damped system;    fractional order;    finite-time stability;    time delay;   

DOI  :  10.15388/namc.2022.27.25194

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown