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On exponential stability in mean square of neutral stochastic functional differential equations
Systems and Control Letters, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pham Huu Anh Ngoc
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A Novel Approach to Mean Square Exponential Stability of Stochastic Delay Differential Equations
IEEE Transactions on Automatic Control, 2021We present a novel approach to the mean square exponential stability of stochastic delay differential equations. Consequently, some new explicit criteria for the mean square exponential stability of general nonlinear stochastic delay differential equations are derived.
Pham Huu Anh Ngoc, Le Trung Hieu
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Mean-square exponential stability of stochastic inertial neural networks
International Journal of Control, 2020By introducing some parameters perturbed by white noises, we propose a class of stochastic inertial neural networks in random environments.
Wentao Wang, Wei Chen
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Explicit criteria for mean square exponential stability of stochastic differential equations
Applied Mathematics Letters, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pham Huu Anh Ngoc
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Mean square exponential stability of stochastic nonlinear delay systems
International Journal of Control, 2016ABSTRACTIn this paper, we are concerned with the stability of stochastic nonlinear delay systems. Different from the previous literature, we aim to show that when the determinate nonlinear delay system is globally exponentially stable, the corresponding stochastic nonlinear delay system can be mean square globally exponentially stable.
Quanxin Zhu, Shiyun Song, Tianren Tang
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Mean Square Exponential Stability for some Stochastic Linear Discrete Time Systems
European Journal of Control, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vasile Dragan, Toader Morozan
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Journal of the Franklin Institute, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhiguo Yan, Yunxia Song, Ju H. Park 0001
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhiguo Yan, Yunxia Song, Ju H. Park 0001
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IMA Journal of Mathematical Control and Information, 2023
Abstract This paper addresses the exponential stability of nonlinear delay differential equations with Markovian switching. Drawing upon the comparison principle, we introduce the explicit criteria for achieving the exponential stability in mean square (sense).
Ky Quan Tran +3 more
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Abstract This paper addresses the exponential stability of nonlinear delay differential equations with Markovian switching. Drawing upon the comparison principle, we introduce the explicit criteria for achieving the exponential stability in mean square (sense).
Ky Quan Tran +3 more
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Exponential Stability in Mean Square and Stochastic Variational Equations
AIP Conference Proceedings, 2011The aim of the paper is to obtain new characterizations for exponential stability in mean square of stochastic variational systems in Hilbert spaces. Thus we will introduce a general concept of admissibility in variational stochastic case. An example of such a stochastic variational system is considered the parabolic equations who are perturbed by ...
Adina Păucă +6 more
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