Results 221 to 230 of about 25,515 (258)

On exponential stability in mean square of nonlinear delay differential equations with Markovian switching

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, Pham Huu Anh Ngoc, Tran Thai Bao, Huy Nguyen Dinh   +3 more
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Exponential Stability in Mean Square and Stochastic Variational Equations

AIP Conference Proceedings, 2011
The 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, Diana Stoica, Ludovic Dan Lemle, Theodore E. Simos, George Psihoyios, Ch. Tsitouras, Zacharias Anastassi   +6 more
openaire   +1 more source

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, Zhang, He, Zhang, Hongyu, Zhang, Hua, Lu, Guichen   +4 more
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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, Toader Morozan, Adrian-Mihail Stoica   +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
openaire   +1 more source

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, Toader Morozan, Adrian-Mihail Stoica   +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