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Finite‐time stability of linear fractional‐order time‐delay systems
Author(s) -
Naifar Omar,
Nagy A. M.,
Makhlouf Abdellatif Ben,
Kharrat Mohamed,
Hammami Mohamed Ali
Publication year - 2018
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.4388
Subject(s) - stability (learning theory) , fractional calculus , mathematics , order (exchange) , time derivative , control theory (sociology) , gronwall's inequality , derivative (finance) , mathematical analysis , computer science , inequality , control (management) , finance , machine learning , artificial intelligence , financial economics , economics
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.