Affiliation:
1. Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore 641004, India
Abstract
Abstract
A controllability analysis of both linear and non-linear fractional-order systems with damping behaviour and multiple delays is studied. We derived the controllability result for damped system with multi-term fractional order and multiple delays by introducing some lemmas with the help of Laplace transform properties and Mittag–Leffler function. Further, some new sufficient conditions ensuring controllability for a class of non-linear multi-term fractional-order damped systems with multiple delays are established by utilizing fractional Caputo derivatives and Schauder’s fixed point theorem. Moreover, as applications that demonstrate the proposed results, two examples are presented.
Publisher
Oxford University Press (OUP)
Subject
Applied Mathematics,Control and Optimization,Control and Systems Engineering
Cited by
2 articles.
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