首页|Controllability analysis of multiple fractional order integro-differential damping systems with impulsive interpretation

Controllability analysis of multiple fractional order integro-differential damping systems with impulsive interpretation

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We study the controllability criteria for a class of fractional integro-differential damped systems with impulsive perturbations. The solution representation is derived for both linear and non-linear damped systems, and the introduced formulations were constructed by employing Laplace transformation with Mittag-Leffler matrix function. We present necessary and sufficient conditions for the indicated systems to be controllable in finite dimensional spaces. Here, controllability conditions are proposed by using Grammian matrix as a powerful tool. Two numerical examples are also given at end to demonstrate the obtained theory. (c) 2022 Elsevier B.V. All rights reserved.

Fractional integro-differential equationsDamped systemControllabilityMittag-Leffler functionGrammian matrixDELAY

Jothilakshmi, G.、Vadivoo, B. S.、Almalki, Y.、Debbouche, A.

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Alagappa Univ

King Khalid Univ

Guelma Univ

2022

Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
年,卷(期):2022.410
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