Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks [PDF]
Discrete Dynamics in Nature and Society, 2016 We address the problem of stochastic attractor and boundedness of a class of switched Cohen-Grossberg neural networks (CGNN) with discrete and infinitely distributed delays.
Chuangxia Huang, Jie Cao, Peng Wang
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Asymptotic behaviours of stochastic differential delay equations [PDF]
, 2005 Most of the existing results on stochastic stability use a single Lyapunov function, but we shall instead use multiple Lyapunov functions in this paper.
Shen, Yi +3 more
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Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations [PDF]
, 2011 Asymptotic stability and boundedness have been two of most popular topics in the study of stochastic functional differential equations (SFDEs) (see e.g. Appleby and Reynolds (2008), Appleby and Rodkina (2009), Basin and Rodkina (2008), Khasminskii (1980),
Luo, Qi, Shen, Yi, Mao, Xuerong
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Risk-Aware Stability, Ultimate Boundedness, and Positive Invariance [PDF]
, 2022 This paper introduces the notions of stability, ultimate boundedness, and positive invariance for stochastic systems in the view of risk. More specifically, those notions are defined in terms of the worst-case Conditional Value-at-Risk (CVaR), which ...
Kishida, Masako
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Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations [PDF]
, 2007 Relatively little is known about the ability of numerical methods for stochastic differential equations (SDEs) to reproduce almost sure and small-moment stability.
Yuan, C. +4 more
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Stochastic patch structure Nicholson’s blowflies system with mixed delays
Advances in Difference Equations, 2020 This paper is devoted to studying a stochastic patch structure Nicholson’s blowflies system with mixed delays which is a new model for the generalization of classic Nicholson’s blowflies system.
Honghui Yin, Bo Du, Xiwang Cheng
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Ultimate Boundedness of the Systems Governed by Stochastic Differential Equations [PDF]
Nagoya Mathematical Journal, 1972 The stability of the systems given by ordinary differential equations or functional-differential equations has been studied by many mathematicians. The most powerful tool in this field seems to be the Liapunov’s second method (see, for example [6]).
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Robust filtering for bilinear uncertain stochastic discrete-time systems [PDF]
, 2002 Copyright [2002] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services.
Qiao, H, Wang, Z
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Dynamic analysis of a stochastic four species food-chain model with harvesting and distributed delay
Boundary Value Problems, 2021 A stochastic four species food-chain model is proposed in this paper. Here, artificial harvest in each species and the effect of time delay for interaction between species are considered, which makes the model more applicable in real situations ...
Nafeisha Tuerxun, Zhidong Teng, Wei Chen
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Markov switched stochastic Nicholson-type delay system with patch structure
Advances in Difference Equations, 2020 Considering stochastic perturbations of white and color noises, we introduce the Markov switched stochastic Nicholson-type delay system with patch structure.
Wentao Wang, Guifeng Deng, Wei Chen
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