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Finite time stability for nonsingular impulsive first order delay differential systems

Akbar Zada, Bakhtawar Pervaiz, Muthaiah Subramanian and Ioan-Lucian Popa

Applied Mathematics and Computation, 2022, vol. 421, issue C

Abstract: This primer article focuses on the representation of solutions and finite-time stability of impulsive first-order delay differential systems. We define delayed matrix function with impulses and use variation of parameters to obtain a representation of solutions of linear systems with impulse effects. The famous classical Grownwall inequalities and properties of delayed matrix exponential with impulses are used to develop sufficient conditions for finite-time stability. In the end, we provide some examples to support the results.

Keywords: Finite time stability; Delay system; Representation of solutions; Delayed exponential matrix (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:421:y:2022:i:c:s0096300322000297

DOI: 10.1016/j.amc.2022.126943

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