Results 71 to 80 of about 273,778 (204)

Existence and Hyers–Ulam stability of stochastic integrodifferential equations with a random impulse

Journal of Inequalities and Applications, 2023
The theoretical approach of random impulsive stochastic integrodifferential equations (RISIDEs) with finite delay, noncompact semigroups, and resolvent operators in Hilbert space is investigated in this article.
Ramkumar Kasinathan, Ravikumar Kasinathan, Varshini Sandrasekaran, Dumitru Baleanu   +3 more
doaj   +1 more source

Stabilization of stochastic functional differential systems by steepest descent feedback controls

IET Control Theory & Applications, 2021
The mean‐square exponential stabilization and stochastically asymptotical stabilization for a class of stochastic functional differential systems is studied.
Xuetao Yang, Quanxin Zhu
doaj   +1 more source

Stability of Stochastic Reaction-Diffusion Recurrent Neural Networks with Unbounded Distributed Delays

Discrete Dynamics in Nature and Society, 2011
Stability of reaction-diffusion recurrent neural networks (RNNs) with continuously distributed delays and stochastic influence are considered. Some new sufficient conditions to guarantee the almost sure exponential stability and mean square exponential ...
Chuangxia Huang, Xinsong Yang, Yigang He, Lehua Huang   +3 more
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

The Stochastic Θ-Method for Nonlinear Stochastic Volterra Integro-Differential Equations

Abstract and Applied Analysis, 2014
The stochastic Θ-method is extended to solve nonlinear stochastic Volterra integro-differential equations. The mean-square convergence and asymptotic stability of the method are studied. First, we prove that the stochastic Θ-method is convergent of order
Peng Hu, Chengming Huang
doaj   +1 more source

Contracting Nonlinear Observers: Convex Optimization and Learning from Data

, 2017
A new approach to design of nonlinear observers (state estimators) is proposed. The main idea is to (i) construct a convex set of dynamical systems which are contracting observers for a particular system, and (ii) optimize over this set for one which ...
anderson, arcak, ljung, pascanu, steinhardt   +4 more
core   +1 more source

Stability and Synchronization of Delayed Quaternion-Valued Neural Networks under Multi-Disturbances

Mathematics
This paper discusses a type of mixed-delay quaternion-valued neural networks (QVNNs) under impulsive and stochastic disturbances. The considered QVNNs model are treated as a whole, rather than as complex-valued neural networks (NNs) or four real-valued ...
Jibin Yang, Xiaohui Xu, Quan Xu, Haolin Yang, Mengge Yu   +4 more
doaj   +1 more source

Mean-Square Exponential Stability Analysis of Stochastic Neural Networks with Time-Varying Delays via Fixed Point Method

Journal of Applied Mathematics, 2014
This work addresses the stability study for stochastic cellular neural networks with time-varying delays. By utilizing the new research technique of the fixed point theory, we find some new and concise sufficient conditions ensuring the existence and ...
Tianxiang Yao, Xianghong Lai
doaj   +1 more source

Exponential stabilization for nonlinear switched stochastic systems with interval time-varying delay under asynchronous switching

Advances in Difference Equations, 2019
The paper investigates mean-square exponential stabilization for a class of nonlinear switched stochastic systems with interval time-varying delay under asynchronous switching.
Yongzhao Wang
doaj   +1 more source

New result on the mean-square exponential input-to-state stability of stochastic delayed recurrent neural networks

Systems Science & Control Engineering, 2018
In this paper, we solve the mean-square exponential input-to-state stability problem for a class of stochastic delayed recurrent neural networks with time-varying coefficients.
Wentao Wang, Shuhua Gong, Wei Chen
doaj   +1 more source