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• W2042262425 abstract "This paper investigates exponential stability of the equilibrium point of discrete-time delayed dynamic systems with impulsive effects. Firstly, some Razumikhin-type theorems considering stabilizing effects of impulses are introduced. These results show that even the impulse-free component of the original system is unstable; impulses may compensate the deviating trend. Then, we apply the theoretical results to a class of recurrent neural networks under stochastic perturbations and derive several stability preservation criteria; the applicable region of the impulsive strength is also estimated. Some numerical examples are provided to illustrate the efficiency of the results at the end." @default.
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• W2042262425 date "2012-04-01" @default.
• W2042262425 modified "2023-09-29" @default.
• W2042262425 title "Exponential stability of impulsive discrete systems with time delay and applications in stochastic neural networks: A Razumikhin approach" @default.
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• W2042262425 doi "https://doi.org/10.1016/j.neucom.2011.09.029" @default.
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