Results 261 to 270 of about 26,223 (291)

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
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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 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
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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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Exponential Stability in Mean Square of Stochastic Functional Differential Equations with Infinite Delay

Acta Applicandae Mathematicae, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Zhi, Xu, Liping
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Exponential stability in mean square for stochastic differential equations

Stochastic Analysis and Applications, 1990
In this paper we will consider the exponential stability in mean square for the following delay stochastic differential equation which might be regarded as a stochastic perturbed system of the equation The purpose of this paper is to prove that if Eq.(2) is exponentially stable, then Eq.(l) is also exponentially stable in mean square provided τ is ...
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New mean square exponential stability condition of stochastic fuzzy neural networks

Neurocomputing, 2015
This paper investigates the stability problem for interval type-2 (IT2) stochastic fuzzy neural networks. Firstly, an IT2 stochastic fuzzy neural network is constructed. Secondly, by using stochastic analysis approach and Ito?s differential formula, a new sufficient condition ensuring mean square exponential stability is obtained.
Xing Xing, Yingnan Pan, Qing Lu 0002, Hongxia Cui   +3 more
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Exponential mean square stability of stochastically forced 2-torus

Nonlinearity, 2004
Variety in the behaviour of nonlinear dynamic systems under transition from order to chaos is connected frequently with a chain of bifurcations: a stationary regime (equilibrium point) -- periodic regime (limit cycle) -- quasiperiodic regime (torus) -- chaotic regime (strange attractor). Each such transition is accompanied by the loss of stability of a
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