Results 31 to 40 of about 1,235,951 (289)

Nonuniform Mean-square Exponential Dichotomies and Mean-square Exponential Stability

, 2019
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
openaire   +2 more sources

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

Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays

Advances in Difference Equations, 2018
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
doaj   +1 more source

A stochastic behavior analysis of stochastic restricted-gradient descent algorithm in reproducing kernel Hilbert spaces

, 2014
This paper presents a stochastic behavior analysis of a kernel-based stochastic restricted-gradient descent method. The restricted gradient gives a steepest ascent direction within the so-called dictionary subspace.
Richard, Cedric, Takizawa, Masa-aki, Yukawa, Masahiro   +2 more
core   +1 more source

Stochastic Behavior Analysis of the Gaussian Kernel Least-Mean-Square Algorithm [PDF]

, 2012
The kernel least-mean-square (KLMS) algorithm is a popular algorithm in nonlinear adaptive filtering due to its simplicity and robustness. In kernel adaptive filters, the statistics of the input to the linear filter depends on the parameters of the ...
Bermudez, José Carlos Moreira, Parreira, Wemerson D., Richard, Cédric, Tourneret, Jean-Yves   +3 more
core   +6 more sources

Mean-Square Non-Local Stability of Ship in Storm Conditions of Operation

Polish Maritime Research, 2019
The purpose of the paper is to create a method for studying nonlocal stability in the mean and in the mean square of the ship, positioned on the beam of an intensive wind–waves mode, which is based on the use of the correlation theory of random functions
Nekrasov Valeriy
doaj   +1 more source

Predator-prey Activity-Tuned Ecological System: An Exhilarating Rollercoaster of Survival [PDF]

International Journal of Mathematical, Engineering and Management Sciences
In natural ecosystems, the timing of daily activity in predator and prey plays a crucial role in determining their encounters and evolutionary outcomes. This study explores how coevolution in circadian activity patterns emerges from the dynamic interplay
Rajat Kaushik, Chitra Singh, Saurabh Kumar   +2 more
doaj   +1 more source

A comparative linear mean-square stability analysis of Maruyama- and Milstein-type methods

, 2010
In this article we compare the mean-square stability properties of the Theta-Maruyama and Theta-Milstein method that are used to solve stochastic differential equations. For the linear stability analysis, we propose an extension of the standard geometric
Buckwar, Evelyn, Sickenberger, Thorsten
core   +1 more source

Mean Square Exponential Stability of Stochastic Complex-Valued Neural Networks with Mixed Delays

Complexity, 2019
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
doaj   +1 more source

Mean Square Polynomial Stability of Numerical Solutions to a Class of Stochastic Differential Equations

, 2014
The exponential stability of numerical methods to stochastic differential equations (SDEs) has been widely studied. In contrast, there are relatively few works on polynomial stability of numerical methods.
Foondun, Mohammud, Liu, Wei, Mao, Xuerong   +2 more
core   +1 more source