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Ultimate Boundedness of Stochastic Neural Networks with Delays
Although ultimate boundedness of several classes of neural networks with constant delays was studied by some researchers, the inherent randomness associated with signal transmission was not taken account into these networks. At present, few authors study ultimate boundedness of stochastic neural networks and no related papers are reported.
Li Wan, Qing Hua Zhou
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Exponential ultimate boundedness of impulsive stochastic delay differential equations
Applied Mathematics Letters, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liguang Xu, Danhua He
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Ultimate boundedness of impulsive stochastic delay differential equations with delayed impulses
Statistics and Probability Letters, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zhiguang, Zhu, Quanxin
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Ultimate boundedness and invariant measures of stochastic evolution equations
Stochastic and Stochastics Reports, 1996This work studies necessary and sufficient conditions for the exponential ultimate boundedness of the solutions of stochastic evolution equations in terms of Lyapunov function. We explicitly construct the Lyapunov function in the linear case and derive sufficient conditions in the non linear case through the first order approximation.
V Mandrekar
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Ultimate boundedness of stochastic Hopfield neural networks with time-varying delays
Neurocomputing, 2011By employing Lyapunov functional theory as well as linear matrix inequalities, ultimate boundedness of stochastic Hopfield neural networks (HNN) with time-varying delays is investigated. Sufficient criteria on ultimate boundedness of stochastic HNN are firstly obtained, which fills up a gap and includes deterministic systems as our special case ...
Qinghua Zhou
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Attractor and ultimate boundedness for stochastic cellular neural networks with delays
Nonlinear Analysis: Real World Applications, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qinghua Zhou
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Nonlinear Analysis: Real World Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jizi Li, Qinghua Zhou
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jizi Li, Qinghua Zhou
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Acta Applicandae Mathematicae
The authors introduce and construct a class of stochastic periodic chemostat systems, under the assumption that the nutrient input concentration and noise intensities are periodic, which are endowed with many biological meanings. They discuss the importance of studying the stochastic ultimate boundedness of the solution for the stochastic periodic ...
Zhang, Xiaofeng, Zhang, Yujing
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The authors introduce and construct a class of stochastic periodic chemostat systems, under the assumption that the nutrient input concentration and noise intensities are periodic, which are endowed with many biological meanings. They discuss the importance of studying the stochastic ultimate boundedness of the solution for the stochastic periodic ...
Zhang, Xiaofeng, Zhang, Yujing
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Applied Mathematics Letters
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yejuan Wang, Yinan Ni
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yejuan Wang, Yinan Ni
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