Controllability analysis of multiple fractional order integro-differential damping systems with impulsive interpretation
Jothilakshmi, G. 1Vadivoo, B. S. 1Almalki, Y. 2Debbouche, A.3
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作者信息
1. Alagappa Univ
2. King Khalid Univ
3. Guelma Univ
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Abstract
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.
NSTL
Elsevier