Finite‐time stability of linear fractional‐order time‐delay systems. (19th October 2018)

• Record Type: Journal Article
• Authors: Naifar, Omar; Nagy, A. M.; Makhlouf, Abdellatif Ben; Kharrat, Mohamed; Hammami, Mohamed Ali
• Is Part Of: International journal of robust and nonlinear control. Volume 29:Number 1(2019)
• Page Start: 180
• Page End: 187
• Publication Date: 2018-10-19
• Subjects: Caputo derivative -- finite‐time stability -- linear fractional‐order time‐delay systems; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.4388
• Languages: English
• ISSNs: 1049-8923

Abstract

Summary: 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.