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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.