Results 31 to 40 of about 114,687,083 (175)
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 +3 more
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Numerical solutions of neutral stochastic functional differential equations with Markovian switching
Advances in Difference Equations, 2019 Until now, the theories about the convergence analysis, the almost surely and mean square exponential stability of the numerical solution for neutral stochastic functional differential equations with Markovian switching (NSFDEwMSs) have been well ...
Yuru Hu, Huabin Chen, Chenggui Yuan
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H∞ Control of Discrete-Time Stochastic Systems With Borel-Measurable Markov Jumps
IEEE Access, 2020 This paper is concerned with a kind of discrete-time stochastic systems with Markov jump parameters taking values in a Borel measurable set. First, both strong exponential stability and exponential stability in the mean square sense are introduced for ...
Hongji Ma, Yuechen Cui, Yongli Wang
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Stability Analysis and Robust H∞ Control of Switched Stochastic Systems with Time-Varying Delay
Journal of Applied Mathematics, 2012 The problems of mean-square exponential stability and robust H∞ control of switched stochastic systems with time-varying delay are investigated in this paper.
Zhengrong Xiang, Guoxin Chen
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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
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Discrete Dynamics in Nature and Society, 2018 In this paper, exponential stability and robust H∞ control problem are investigated for a class of discrete-time time-delay stochastic systems with infinite Markov jump and multiplicative noises.
Yueying Liu, Ting Hou
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IEEE Access, 2020 In this paper, we consider quaternion-valued stochastic delayed neural networks. We first obtain the existence of almost periodic solutions in distribution sense by employing the contraction mapping principle.
Xiaofang Meng, Yongkun Li
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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 +3 more
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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
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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
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