Results 21 to 30 of about 25,515 (258)

Mean Square Exponential Stability of Stochastic Switched System with Interval Time-Varying Delays

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   +1 more source

Generalized Mean Square Exponential Stability for Stochastic Functional Differential Equations

Mathematics
This 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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Stochastic Memristive Quaternion-Valued Neural Networks with Time Delays: An Analysis on Mean Square Exponential Input-to-State Stability

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, Grienggrai Rajchakit, Pramet Kaewmesri, Pharunyou Chanthorn, Ramalingam Sriraman, Rajendran Samidurai, Chee Peng Lim   +6 more
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A Note on Exponential Stability for Numerical Solution of Neutral Stochastic Functional Differential Equations

Mathematics, 2022
This paper examines the numerical solutions of the neutral stochastic functional differential equation. This study establishes the discrete stochastic Razumikhin-type theorem to investigate the exponential stability in the mean square sense of the Euler ...
Qi Wang, Huabin Chen, Chenggui Yuan
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Explicit criteria for exponential stability in mean square of stochastic difference systems with delays

IMA Journal of Mathematical Control and Information, 2022
Abstract By a novel approach, we present some new criteria for the exponential stability in mean square of solutions of non-linear stochastic difference systems with time-varying delays. A discussion of the obtained results is given. Illustrative examples and simulations are provided.
Le Trung Hieu, Pham Huu Anh Ngoc, Tran Thai Bao, Huy Nguyen Dinh   +3 more
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Mean-square exponential input-to-state stability of stochastic quaternion-valued neural networks with time-varying delays

Advances in Difference Equations, 2021
In this paper, we first consider the stability problem for a class of stochastic quaternion-valued neural networks with time-varying delays. Next, we cannot explicitly decompose the quaternion-valued systems into equivalent real-valued systems; by using ...
Lihua Dai, Yuanyuan Hou
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Stability of Stochastic Delayed Recurrent Neural Networks

Mathematics
This paper addresses the stability of stochastic delayed recurrent neural networks (SDRNNs), identifying challenges in existing scalar methods, which suffer from strong assumptions and limited applicability.
Hongying Xiao, Mingming Xu, Yuanyuan Zhang, Shengquan Weng   +3 more
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Mean-square exponential stability for the hysteretic Hopfield neural networks with stochastic disturbances

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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Convergence and stability of the exponential Euler method for semi-linear stochastic delay differential equations

Journal of Inequalities and Applications, 2017
The main purpose of this paper is to investigate the strong convergence and exponential stability in mean square of the exponential Euler method to semi-linear stochastic delay differential equations (SLSDDEs).
Ling Zhang
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Mean Square Exponential Stability of Stochastic Cohen-Grossberg Neural Networks with Unbounded Distributed Delays

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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