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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On the Exponential Stability of Stochastic Perturbed Singular Systems in Mean Square [PDF]
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 initial ...
Tomás Caraballo +2 more
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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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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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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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Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays [PDF]
Abstract and Applied Analysis, 2012 This paper is concerned with mean square exponential stability of switched stochastic system with interval time-varying delays. The time delay is any continuous function belonging to a given interval, but not necessary to be differentiable.
Manlika Rajchakit, Grienggrai Rajchakit
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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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Exponential Stability and Numerical Methods of Stochastic Recurrent Neural Networks with Delays [PDF]
Abstract and Applied Analysis, 2013 Exponential stability in mean square of stochastic delay recurrent neural networks is investigated in detail. By using Itô’s formula and inequality techniques, the sufficient conditions to guarantee the exponential stability in mean square of an ...
Shifang Kuang +3 more
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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 +5 more
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