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Controllability of fractional Langevin impulsive system with proportional delay

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Abstract

The main intent of this manuscript is to formulate the Controllability conditions for the impulsive fractional order differential systems with proportional delay. The solution representation is derived by employing Laplace transformation and Mittag–Leffler matrix function. Also, theoretical study for controllability is described by appropriate Gramian matrix. We have executed a theoretical study and numerical computation on an example using our important results and MATLAB program.

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Authors and Affiliations

  1. Department of Mathematics, Alagappa University, Karaikudi, 630 004, India

    G. Jothilakshmi & B. Sundara Vadivoo

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  1. G. Jothilakshmi
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  2. B. Sundara Vadivoo
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G. Jothilakshmi and B.Sundara Vadivoo have contributed equally.

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Correspondence to B. Sundara Vadivoo.

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Jothilakshmi, G., Sundara Vadivoo, B. Controllability of fractional Langevin impulsive system with proportional delay. Int. J. Dynam. Control 12, 32–41 (2024). https://doi.org/10.1007/s40435-023-01306-2

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  • DOI: https://doi.org/10.1007/s40435-023-01306-2

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