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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Finite-Time Stability of Impulsive Fractional-Order Time Delay Systems with Damping Behavior

Discontinuity, Nonlinearity, and Complexity 12(1) (2023) 23--33 | DOI:10.5890/DNC.2023.03.003

Arthi Ganesan, Brindha Nallasamy

Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore, 641 004, India

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Abstract

This work made for analyzing the finite-time stability of impulsive nonlinear delay damped system with caputo fractional derivative of orders $\alpha_1\in(1,2]$ and $\alpha_2\in (0,1]$. Sufficient conditions which are derived from extended form of Gronwall's inequality to analyze the stability in the finite range of time for such multi-term fractional-order impulsive control system. The potential of the proposed approach is demonstrated with the support of two numerical examples.

Acknowledgments

The work of Brindha Nallasamy was supported by the University Grants Commission (UGC), India (201819-NFO-2018-19-OBC-TAM-83048).

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