Input-to-State Stability of Stochastic Memristive Neural Networks with Time-Varying Delay

Xu Y. Lou and Qian Ye

Mathematical Problems in Engineering, 2015, vol. 2015, 1-8

Abstract:

This paper is concerned with the input-to-state stability problem of a class of memristive neural networks. We consider the neural networks that take into account both the stochastic effects and time-varying delay, and introduce the notions of meansquare exponential input-to-state stability. Using the stochastic analysis theory and Itô formula for stochastic differential equations, we establish sufficient conditions for both mean-square exponential input-to-state stability and mean-square exponential stability. Numerical simulations are also provided to demonstrate the theoretical results.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:140857

DOI: 10.1155/2015/140857

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