Nonuniform mean-square exponential dichotomies and mean-square exponential stability [PDF]
Nonlinear Analysis, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hailong Zhu, Li Chen
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IEEE Access, 2023 The effect of impulse on stability of neural network is evident not only in performance, that is, impulsive control and impulsive interference. The amount of impulse has a certain impact on stability of neural network.
Yueli Huang, Ailong Wu
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Mean square asymptotic stability characterisation of perturbed linear stochastic functional differential equations [PDF]
, 2023 In this paper we investigate the mean square asymptotic stability of a perturbed scalar linear stochastic functional differential equation. Specifically, we are able to give necessary and sufficient conditions on the forcing terms for convergence of the ...
Appleby, John A.D. +3 more
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Convergence of Monte Carlo simulations involving the mean-reverting square root process [PDF]
, 2005 The mean-reverting square root process is a stochastic differential equation (SDE) that has found considerable use as a model for volatility, interest rate, and other financial quantities.
Mao, X., Higham, D.J.
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Exact Mean Square Linear Stability Analysis for SGD
CoRR, 2023 The dynamical stability of optimization methods at the vicinity of minima of the loss has recently attracted significant attention. For gradient descent (GD), stable convergence is possible only to minima that are sufficiently flat w.r.t. the step size, and those have been linked with favorable properties of the trained model.
Rotem Mulayoff, Tomer Michaeli
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Reducing Conservatism in Analysis of Networked Control Systems Using Order Constraints [PDF]
INCAS Bulletin, 2021 This paper deals with the analysis of the stability of networked control systems (NCS). In NCS, the signal transmission between the plant and the controller is done through a communication network.
Kamran MOHAJERI +2 more
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Asymptotical Mean Square Stability of Cohen-Grossberg Neural Networks with Random Delay
Journal of Inequalities and Applications, 2010 The asymptotical mean-square stability analysis problem is considered for a class of Cohen-Grossberg neural networks (CGNNs) with random delay. The evolution of the delay is modeled by a continuous-time homogeneous Markov process with a finite number of
Zhang Hanjun, Zou Jiezhong, Zhu Enwen
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Mean Square Exponential Stability of a Class of Stochastic Rcellular Neural Networks
Journal of Harbin University of Science and Technology, 2020 In this paper, the problem of the mean square exponential stability of a class of impulsive stochastic reactiondiffusion cellular neural networks (CNNs) with transmission delay and distributed delay, and parameter uncertainties is discussed.
LIU Xin, CHEN Lili, HUANG Shuai
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Mean-square exponential input-to-state stability of stochastic inertial neural networks
Advances in Difference Equations, 2021 By introducing some parameters perturbed by white noises, we propose a class of stochastic inertial neural networks in random environments. Constructing two Lyapunov–Krasovskii functionals, we establish the mean-square exponential input-to-state ...
Wentao Wang, Wei Chen
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Almost sure exponential stability of backward Euler–Maruyama discretizations for hybrid stochastic differential equations [PDF]
, 2011 This is a continuation of the first author's earlier paper [1] jointly with Pang and Deng, in which the authors established some sufficient conditions under which the Euler-Maruyama (EM) method can reproduce the almost sure exponential stability of the ...
Shen, Yi, Mao, Xuerong, Gray, Alison
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