Results 1 to 10 of about 25,940 (295)
Mean square exponential stability of impulsive stochastic difference equations
Applied Mathematics Letters, 2007 This article proposes a method to deal with the mean square exponential stability of impulsive stochastic difference equations. By establishing a difference inequality, we obtain some sufficient conditions ensuring the exponential stability, in mean ...
Zhiguo Yang, Daoyi Xu
exaly +4 more sources
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
doaj +4 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +2 more sources
Mean square exponential stability of uncertain stochastic delayed neural networks
Physics Letters, Section A: General, Atomic and Solid State Physics, 2008 This Letter concerns with the mean square exponential stability of uncertain stochastic delayed neural networks. By applying Lyapunov functional method, new delay-dependent/independent mean square exponential stability criteria are derived in terms of ...
Wu-Hua Chen, Xiaomei Lu
exaly +2 more sources
Abstract and Applied Analysis, 2012 The numerical approximation of exponential Euler method is constructed for semilinear stochastic differential equations (SDEs). The convergence and mean-square (MS) stability of exponential Euler method are investigated. It is proved that the exponential
Chunmei Shi, Yu Xiao, Chiping Zhang
doaj +2 more sources
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
doaj +3 more sources
Systems Science & Control Engineering, 2018 In this paper, we solve the mean-square exponential input-to-state stability problem for a class of stochastic delayed recurrent neural networks with time-varying coefficients.
Wentao Wang, Shuhua Gong, Wei Chen
doaj +2 more sources