Mean Square Stability of Impulsive Stochastic Differential Systems [PDF]
International Journal of Differential Equations, 2011 Based on Lyapunov-Krasovskii functional method and stochastic analysis theory, we obtain some new delay-dependent criteria ensuring mean square stability of a class of impulsive stochastic equations.
Shujie Yang, Bao Shi, Mo Li
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Mean square exponential stability of impulsive stochastic difference equations
Applied Mathematics Letters, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhiguo Yang, Daoyi Xu
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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 Exponential Stability of Stochastic Delay Differential Systems with Logic Impulses
Mathematics, 2023 This paper focuses on the mean square exponential stability of stochastic delay differential systems with logic impulses. Firstly, a class of nonlinear stochastic delay differential systems with logic impulses is constructed. Then, the logic impulses are
Chunxiang Li +4 more
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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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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 stochastic function differential equations in the G-framework
Open Mathematics, 2023 This research focuses on the stochastic functional differential equations driven by G-Brownian motion (G-SFDEs) with infinite delay. It is proved that the trivial solution of a G-SFDE with infinite delay is exponentially stable in mean square. An example
Li Guangjie, Hu Zhipei
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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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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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