Results 31 to 40 of about 6,822,651 (272)

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
openaire   +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
doaj   +1 more source

Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations [PDF]

, 2011
Asymptotic stability and boundedness have been two of most popular topics in the study of stochastic functional differential equations (SFDEs) (see e.g. Appleby and Reynolds (2008), Appleby and Rodkina (2009), Basin and Rodkina (2008), Khasminskii (1980),
Luo, Qi, Shen, Yi, Mao, Xuerong
core   +4 more sources

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Delivery of DNA‐encoded vaccines and proteins in mice using cutaneous suction‐mediated transfection

FEBS Open Bio, EarlyView.
Cutaneous suction‐mediated transfection in mice for delivery of DNA‐encoded vaccines and proteins. A critical limitation of DNA vaccines and other therapeutics is transfection in vivo to produce the encoded antigens or therapeutic proteins. Cutaneous suction‐based methods have demonstrated effectiveness in many animal models and have been successfully ...
Emran O. Lallow, Isabel Brandtjen, Yaxin Mo, Melissa Gulley, Louis Osorio, Sagar Kudchodkar, Nandita C. Jhumur, Christine C. Roberts, Lisa K. Denzin, David I. Shreiber, Biju Parekkadan, Hao Lin, Joel N. Maslow   +12 more
wiley   +1 more source