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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


Dumitru Baleanu (editor)

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


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

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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.


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