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Exponential stability results on random and fixed time impulsive differential systems with infinite delay

Publication Type : Journal Article

Publisher : Mathematics

Source : Mathematics 2019, 7(9), 843; https://doi.org/10.3390/math7090843

Url : https://www.mdpi.com/2227-7390/7/9/843

Campus : Kochi

School : School of Physical Sciences

Department : Mathematics

Year : 2019

Abstract : In this paper, we investigated the stability criteria like an exponential and weakly exponential stable for random impulsive infinite delay differential systems (RIIDDS). Furthermore, we proved some extended exponential and weakly exponential stability results for RIIDDS by using the Lyapunov function and Razumikhin technique. Unlike other studies, we show that the stability behavior of the random time impulses is faster than the fixed time impulses. Finally, two examples were studied for comparative results of fixed and random time impulses it shows by simulation.

Cite this Research Publication : Xiaodi Li, A. Vinodkumar, and T. Senthilkumar, "Exponential stability results on random and fixed time impulsive differential systems with infinite delay," Mathematics, 2019, 7 (9): 843.  

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