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Mean square stabilization and mean square exponential stabilization of stochastic BAM neural networks with Markovian jumping parameters

Chaos, Solitons & Fractals, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ye, Zhiyong   +4 more
openaire   +2 more sources

A novel approach to exponential stability in mean square of stochastic difference systems with delays

Systems & Control Letters, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pham Huu Anh Ngoc, Le Trung Hieu
openaire   +1 more source

Exponential Stability in Mean Square

2013
In 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
openaire   +1 more source

Some remarks on exponential mean-square stability of linear hybrid systems

2009 European Control Conference (ECC), 2009
Sufficient conditions of the exponential mean-square stability of a linear stochastic hybrid system with multiplicative noises and the random switching rule are derived. A hybrid system with linear stable and unstable parts with stochastic structures is considered.
Ewelina Seroka, Leslaw Socha
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Mean-square exponential input-to-state stability of stochastic delayed neural networks

Neurocomputing, 2014
In this paper, we focus on the stability problem for a class of stochastic delayed recurrent neural networks. Different from the traditional stability criteria, we introduce and study a new stability criterion: the mean-square exponential input-to-state stability.
Quanxin Zhu, Jinde Cao
exaly   +2 more sources

Mean square exponential stability

2009
The 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
openaire   +1 more source

Mean square exponential stabilization of sampled‐data Markovian jump systems

International Journal of Robust and Nonlinear Control, 2018
SummaryIn 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
openaire   +1 more source

A New Approach to Mean Square Exponential Stability of Stochastic Functional Differential Equations

IEEE Control Systems Letters, 2021
General stochastic functional differential equations are considered. A novel approach to the exponential stability in mean square of stochastic functional differential equations is presented. Consequently, some new criteria for the exponential stability in mean square of such equations are derived. A discussion of the obtained results is given.
Pham Huu Anh Ngoc
exaly   +2 more sources

Exponential mean-square stability of stochastic string hybrid systems

2009 European Control Conference (ECC), 2009
The sufficient conditions of exponential mean-square stability for nonlinear continuous time stochastic string hybrid systems are established. The excitations are assumed to be parametric white noises and the switching rule has the form of a right continuous Markov chain. The detailed calculations are given for linear systems.
openaire   +1 more source

The mean-square exponential stability and instability of stochastic nonholonomic systems

Chinese Physics, 2001
We present a new methodology for studying the mean-square exponential stability and instability of nonlinear nonholonomic systems under disturbance of Gaussian white-noise by the first approximation. Firstly, we give the linearized equations of nonlinear nonholonomic stochastic systems; then we construct a proper stochastic Lyapunov function to ...
Shang Mei, Guo Yong-xin
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