Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays
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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Nonuniform Mean-square Exponential Dichotomies and Mean-square Exponential Stability
In this paper, the existence conditions of nonuniform mean-square exponential dichotomy (NMS-ED) for a linear stochastic differential equation (SDE) are established. The difference of the conditions for the existence of a nonuniform dichotomy between an SDE and an ordinary differential equation (ODE) is that the first one needs an additional assumption,
Zhu, Hailong, Chen, Li, He, Xiuli
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Almost sure exponential stability of numerical solutions for stochastic delay differential equations [PDF]
Using techniques based on the continuous and discrete semimartingale convergence theorems, this paper investigates if numerical methods may reproduce the almost sure exponential stability of the exact solutions to stochastic delay differential equations (
Szpruch, Lukasz, Wu, Fuke, Mao, Xuerong
core +4 more sources
Mean Square Exponential Stability of Stochastic Complex-Valued Neural Networks with Mixed Delays
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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MEAN SQUARE STABILITY AND STABILIZATION FOR STOCHASTIC NONLINEAR OSCILLATIONS
Abstract An exponential mean square stability for the limit cycles of nonlinear stochastic systems is considered. The first approximation linear systems are introduced and a notion of P-stability (projective) is proposed. A spectral criterion for P-stability is obtained.
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Exponential Mean-Square Stability of Numerical Solutions to Stochastic Differential Equations [PDF]
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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Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations [PDF]
A discrete stochastic Razumikhin-type theorem is established to investigate whether the Euler--Maruyama (EM) scheme can reproduce the moment exponential stability of exact solutions of stochastic functional differential equations (SFDEs).
Wu, Fuke +2 more
core +4 more sources
Existence of a Mean-Square Stabilizing Solution to a Modified Algebraic Riccati Equation [PDF]
It is rather well known that certain stochastic quadratic optimal control problems may be modelled using a discrete-time modified algebraic Riccati equation (MARE). In the present work, the authors investigate the problem of obtaining a mean-square stabilizing solution to the MARE, using the theory of cone-invariant operators extensively.
Jianying Zheng, Li Qiu 0001
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ABSTRACT Background Patients with chronic kidney disease undergoing hemodialysis commonly experience reduced physical function, fatigue, poor sleep quality, and impaired health‐related quality of life. Intradialytic exercise has been proposed as a non‐pharmacological strategy to improve these outcomes.
Klebson da Silva Almeida +6 more
wiley +1 more source
ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo +5 more
wiley +1 more source

