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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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Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays
Advances in Difference Equations, 2018 We study fuzzy stochastic bidirectional associative memory cellular neural networks with discrete delays in leakage terms and with continuous and infinitely distributed delays in the transmission terms. Under certain structural assumptions, we prove that
Fosheng Wang, Chengqiang Wang
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Mean-Square Non-Local Stability of Ship in Storm Conditions of Operation
Polish Maritime Research, 2019 The purpose of the paper is to create a method for studying nonlocal stability in the mean and in the mean square of the ship, positioned on the beam of an intensive wind–waves mode, which is based on the use of the correlation theory of random functions
Nekrasov Valeriy
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Journal of Inequalities and Applications, 2020 In this paper, we investigate the exponential mean-square stability for both the solution of n-dimensional stochastic delay integro-differential equations (SDIDEs) with Poisson jump, as well for the split-step θ-Milstein (SSTM) scheme implemented of the ...
Davood Ahmadian, Omid Farkhondeh Rouz
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Systems Science & Control Engineering, 2018 In this paper, the exponential stability problem is considered for a class of hysteretic Hopfield neural networks with stochastic disturbances. The hysteretic nonlinearities are characterized by a Lipschitz-type constraint where the internal parameters ...
Kui Li, Jinghui Suo, Bo Shen
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On Symmetrized Stochastic Harmonically Convexity and Hermite–Hadamard Type Inequalities
Axioms, 2022 Throughout this study, the concept of symmetrized harmonically convex stochastic processes will be discussed in further detail. Some certain characterizations for symmetrized harmonically convex stochastic processes are discussed that use Hermite ...
Muhammad Amer Latif
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Mathematics, 2020 In this paper, we study the mean-square exponential input-to-state stability (exp-ISS) problem for a new class of neural network (NN) models, i.e., continuous-time stochastic memristive quaternion-valued neural networks (SMQVNNs) with time delays ...
Usa Humphries +6 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 +3 more
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Advances in Difference Equations, 2021 This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms.
Abdulwahab Almutairi +3 more
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