Results 61 to 70 of about 114,687,083 (175)

New result on the mean-square exponential input-to-state stability of stochastic delayed recurrent neural networks

Systems Science & Control Engineering, 2018
In this paper, we solve the mean-square exponential input-to-state stability problem for a class of stochastic delayed recurrent neural networks with time-varying coefficients.
Wentao Wang, Shuhua Gong, Wei Chen
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Asymptotic Behavior of Switched Stochastic Delayed Cellular Neural Networks via Average Dwell Time Method

Abstract and Applied Analysis, 2013
The asymptotic behavior of a class of switched stochastic cellular neural networks (CNNs) with mixed delays (discrete time-varying delays and distributed time-varying delays) is investigated in this paper. Employing the average dwell time approach (ADT),
Hanfeng Kuang, Jinbo Liu, Xi Chen, Jie Mao, Linjie He   +4 more
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Stability Analysis of Cohen–Grossberg Neural Networks with Random Impulses

Mathematics, 2018
The Cohen and Grossberg neural networks model is studied in the case when the neurons are subject to a certain impulsive state displacement at random exponentially-distributed moments.
Ravi Agarwal, Snezhana Hristova, Donal O’Regan, Peter Kopanov   +3 more
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Stability of Stochastic Delayed Recurrent Neural Networks

Mathematics
This paper addresses the stability of stochastic delayed recurrent neural networks (SDRNNs), identifying challenges in existing scalar methods, which suffer from strong assumptions and limited applicability.
Hongying Xiao, Mingming Xu, Yuanyuan Zhang, Shengquan Weng   +3 more
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Analysis of Exponential Stability for Neutral Stochastic Cohen-Grossberg Neural Networks with Mixed Delays

Discrete Dynamics in Nature and Society, 2019
This paper is concerned with the mean-square exponential input-to-state stability problem for a class of stochastic Cohen-Grossberg neural networks. Different from prior works, neutral terms and mixed delays are discussed in our system.
Tianqing Yang, Zuoliang Xiong, Cuiping Yang   +2 more
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Exponential stability in mean square of impulsive stochastic difference equations with continuous time

Applied Mathematics Letters, 2009
A class of impulsive stochastic difference equations with continuous time is considered (the unknown function is a continuous function of time). It is shown that under certain assumptions the null solution of impulsive stochastic difference equations is exponentially stable in mean square and the exponential convergence rate is given.
Jianhai Bao, Zhenting Hou, Fuxing Wang
openaire   +3 more sources

Square-mean global exponential stability of state variable x₁ of model (33).

, 2019
Square-mean global exponential stability of state variable x1 of model (33).
Tianwei Zhang (169823), Sufang Han (7148195), Guoxin Liu (1827139)   +2 more
core   +1 more source

On GARCH(p,q) convergence

Sistemnì Doslìdženâ ta Informacìjnì Tehnologìï, 2018
The paper deals with symmetric GARCH(p,q) model. Assuming that there exists defined by this model stationary time series, we have proposed the necessary and sufficient condition for exponential mean square convergence of any stochastic recurrent ...
J. Carkovs, N. Gutmanis
doaj  

Square-mean global exponential stability of state variable x₂ of model (33).

, 2019
Square-mean global exponential stability of state variable x2 of model (33).
Tianwei Zhang (169823), Sufang Han (7148195), Guoxin Liu (1827139)   +2 more
core   +1 more source

Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay

Abstract and Applied Analysis, 2014
We consider a class of neutral stochastic partial differential equations with infinite delay in real separable Hilbert spaces. We derive the existence and uniqueness of mild solutions under some local Carathéodory-type conditions and also exponential ...
Jing Cui, Litan Yan, Xichao Sun
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