Exponential Stability Results on Random and Fixed Time Impulsive Differential Systems with Infinite Delay
Keyword(s):
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.
2012 ◽
Vol 2012
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2009 ◽
Vol 224
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pp. 1-10
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1995 ◽
Vol 26
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pp. 1747-1754
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2017 ◽
Vol 47
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pp. 2985-2993
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2009 ◽
Vol 2009
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