Results 1 to 10 of about 25,515 (258)
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 and non-exponential asymptotic stability of impulsive stochastic Volterra equations [PDF]
Journal of Inequalities and Applications, 2011 In this article, some inequalities on convolution equations are presented firstly. The mean square stability of the zero solution of the impulsive stochastic Volterra equation is studied by using obtained inequalities on Liapunov function, including mean
Zhao Dianli, Han Dong
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Mean Square Exponential Stability of Stochastic Complex-Valued Neural Networks with Mixed Delays [PDF]
Complexity, 2019 This paper investigates the mean square exponential stability problem of a class of complex-valued neural networks with stochastic disturbance and mixed delays including both time-varying delays and continuously distributed delays.
Xiaohui Xu, Jibin Yang, Yanhai 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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Exponential mean-square stability properties of stochastic linear multistep methods [PDF]
Advances in Computational Mathematics, 2021 AbstractThe aim of this paper is the analysis of exponential mean-square stability properties of nonlinear stochastic linear multistep methods. In particular it is known that, under certain hypothesis on the drift and diffusion terms of the equation, exponential mean-square contractivity is visible: the qualitative feature of the exact problem is here ...
Evelyn Buckwar, Raffaele D'Ambrosio
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Mathematics, 2022 In this paper, quantitative mean square exponential stability and stabilization of Itô-type linear stochastic Markovian jump systems with Brownian and Poisson noises are investigated.
Gaizhen Chang +4 more
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On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square
Applied Mathematics & Optimization, 2021 The approach of Lyapunov functions is one of the most efficient ones for the investigation of the stability of stochastic systems, in particular, of singular stochastic systems. The main objective of the paper is the analysis of the stability of stochastic perturbed singular systems by using Lyapunov techniques under the assumption that the ...
Tomás Caraballo +2 more
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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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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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Exponential Mean-Square Stability of Numerical Solutions to Stochastic Differential Equations [PDF]
LMS Journal of Computation and Mathematics, 2003 AbstractPositive results are proved here about the ability of numerical simulations to reproduce the exponential mean-square stability of stochastic differential equations (SDEs). The first set of results applies under finite-time convergence conditions on the numerical method.
Higham, D.J., Mao, X., Stuart, A.M.
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