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Finite time stability for nonsingular impulsive first order delay differential systems

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

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.

Suggested Citation

  • Zada, Akbar & Pervaiz, Bakhtawar & Subramanian, Muthaiah & Popa, Ioan-Lucian, 2022. "Finite time stability for nonsingular impulsive first order delay differential systems," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    • Handle: RePEc:eee:apmaco:v:421:y:2022:i:c:s0096300322000297
    DOI: 10.1016/j.amc.2022.126943
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    References listed on IDEAS

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    1. Li, Xiaodi & Shen, Jianhua & Rakkiyappan, R., 2018. "Persistent impulsive effects on stability of functional differential equations with finite or infinite delay," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 14-22.
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    Cited by:

    1. Ahmed Salem & Rawia Babusail, 2022. "Finite-Time Stability in Nonhomogeneous Delay Differential Equations of Fractional Hilfer Type," Mathematics, MDPI, vol. 10(9), pages 1-14, May.

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