Input-to-state stability of stochastic memristive neural networks with time-varying delay
type: Item
instance of: scholarly article
title: Input-to-state stability of stochastic memristive neural networks with time-varying delay
zbMATH Open document ID: 1394.93348
DOI: 10.1155/2015/140857
author: Qian Ye
author: Xuyang Lou
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 34K50
Mathematics Subject Classification ID: 93D25
zbMATH DE Number: 6925561
Wikidata QID: Q59117357
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/140857
OpenAlex ID: W2088315165
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description: scientific article; zbMATH DE number 6925561