Results 11 to 20 of about 7,305,031 (247)
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 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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Mathematics, 2022 In this paper, the mean-square strong stability and stabilization of discrete-time Markov jump systems are studied. Firstly, the definition of mean-square strong stability is given, and the necessary and sufficient conditions for mean-square strong ...
Zhiguo Yan, Fangxu Su
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Generalized Mean Square Exponential Stability for Stochastic Functional Differential Equations
MathematicsThis work focuses on a class of stochastic functional differential equations and neutral stochastic differential functional equations. By using a new approach, some sufficient conditions are obtained to guarantee the generalized mean square exponential ...
Tianyu He, Zhi Li, Tianquan Feng
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Spectral Characterization of Stochastic Epidemic Variability on Regular Networks via the Kirchhoff Index [PDF]
EntropyThis paper develops a stochastic framework for epidemic spreading on regular networks based on the Fokker–Planck equation and spectral graph theory. Starting from an Itô stochastic differential equation, we derive the corresponding Fokker–Planck equation
Yousef Alnafisah, M. A. Sohaly
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Mean Square Exponential Stability of Stochastic Cohen-Grossberg Neural Networks with Unbounded Distributed Delays [PDF]
Discrete Dynamics in Nature and Society, 2010 This paper addresses the issue of mean square exponential stability of stochastic Cohen-Grossberg neural networks (SCGNN), whose state variables are described by stochastic nonlinear integrodifferential equations.
Chuangxia Huang, Lehua Huang, Yigang He
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Exponential Stability in Mean Square for Neutral Stochastic Partial Functional Differential Equations with Impulses [PDF]
Journal of Applied Mathematics, 2013 We discuss the exponential stability in mean square of mild solution for neutral stochastic partial functional differential equations with impulses. By applying impulsive Gronwall-Bellman inequality, the stochastic analytic techniques, the fractional ...
Nan Ding
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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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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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