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2020, Volume 21, Issue 6

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Frontiers of Information Technology & Electronic Engineering >> 2020, Volume 21, Issue 6 doi: 10.1631/FITEE.1900736

Controllability of fractional-order damped systems with time-varying delays in control

Affiliation(s): College of Urban Railway Transportation, Shanghai University of Engineering Science, Shanghai 201620, China; School of Mathematics and Statistics, Central South University, Changsha 410075, China; Department of Applied Mathematics, Donghua University, Shanghai 201620, China; less

Received: 2019-12-28 Accepted: 2020-06-12 Available online: 2020-06-12
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Abstract

In this study, we focus on the of in linear and nonlinear cases with multiple in control. For the linear system based on the Mittag-Leffler matrix function, we define a , which is useful in judging whether the system is controllable or not. Furthermore, in two special cases, we present serval equivalent controllable conditions which are easy to verify. For the nonlinear system, under the of its corresponding linear system, we obtain a sufficient condition on the nonlinear term to ensure that the system is controllable. Finally, two examples are given to illustrate the theory.

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