Results 41 to 50 of about 240,259 (289)

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

Exponential stabilization of a class of stochastic system with Markovian jump parameters and mode-dependent mixed time-delays [PDF]

, 2010
Copyright [2010] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services.
Liu, X, Liu, Y, Wang, Z
core   +2 more sources

Mean square exponential stability analysis of stochastic cellular neural networks

Journal of Physics: Conference Series, 2008
The stability of stochastic delayed cellular neural networks (SDCNN) is investigated in this paper. The interconnections and delays appeared in such networks are time-variable. A set of novel sufficient conditions on mean square exponential stability is given. A numerical example is also given to illustrate the effectiveness of our results.
C-X Huang, Y-G He, L-H Huang, W Tan
openaire   +1 more source

Stochastic reliable control of a class of uncertain time-delay systems with unknown nonlinearities [PDF]

, 2001
Copyright [2001] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services.
Burnham, KJ, Huang, B, Wang, Z
core   +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

Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations [PDF]

, 2007
Relatively little is known about the ability of numerical methods for stochastic differential equations (SDEs) to reproduce almost sure and small-moment stability.
Burrage K., Chenggui Yuan, Desmond J. Higham, Xuerong Mao   +3 more
core   +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

Mean-square exponential stabilization of mixed-autonomy traffic PDE system

Automatica
Control of mixed-autonomy traffic where Human-driven Vehicles (HVs) and Autonomous Vehicles (AVs) coexist on the road has gained increasing attention over the recent decades. This paper addresses the boundary stabilization problem for mixed traffic on freeways.
Zhang, Yihuai, Yu, Huan, Auriol, Jean, Pereira, Mike   +3 more
openaire   +4 more sources