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Mean square exponential stabilization of sampled‐data Markovian jump systems
International Journal of Robust and Nonlinear Control, 2018SummaryIn this paper, the problem of mean square exponential stabilization for sampled‐data Markovin jump systems is studied. A time‐scheduled Lyapunov functional consisting of a exponential‐type looped function is constructed using segmentation technology and linear interpolation.
Guoliang Chen, Jian Sun, Jie Chen
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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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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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Neural Networks, 2023
The exponential stabilization of stochastic neural networks in mean square sense with saturated impulsive input is investigated in this paper. Firstly, the saturated term is handled by polyhedral representation method. When the impulsive sequence is determined by average impulsive interval, impulsive density and mode-dependent impulsive density, the ...
Hao Deng +3 more
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The exponential stabilization of stochastic neural networks in mean square sense with saturated impulsive input is investigated in this paper. Firstly, the saturated term is handled by polyhedral representation method. When the impulsive sequence is determined by average impulsive interval, impulsive density and mode-dependent impulsive density, the ...
Hao Deng +3 more
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Chaos, Solitons & Fractals, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ye, Zhiyong +4 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ye, Zhiyong +4 more
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Mean square exponential stability
2009The problem of mean square exponential stability for a class of discrete-time linear stochastic systems subject to independent random perturbations and Markovian switching is investigated. Four different definitions of the concept of exponential stability in the mean square are introduced and it is shown that they are not always equivalent.
Vasile Drăgan +2 more
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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.
Dragan, Vasile, Morozan, Toader
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Exponential Stability in Mean Square
2013In this chapter the problem of mean square exponential stability of the zero solution to the stochastic differential equations of type (1.22) is studied. The stability of a steady-state is one of the main tasks which appears in many design problems of controllers with prescribed performances.
Vasile Dragan +2 more
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Mean square exponential stability of uncertain stochastic delayed neural networks
Physics Letters A, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Wu-Hua (R13917), Lu, Xiaomei
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Mean square exponential stability of stochastic delayed Hopfield neural networks
Physics Letters A, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wan, Li, Sun, Jianhua
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