Results 251 to 260 of about 240,436 (288)

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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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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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.
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Exponential Mean-Square Stability for Network-Based Singular Control Systems

Advanced Materials Research, 2013
The problem of stability for network-based singular control systems with time-delay and data packet is studied. In the presence of time-delay and random packet dropout, sufficient conditions for the existence of a feedback controller are derived, such that the closed-loop network-based singular control systems are exponentially mean-square stable in ...
Bao Qi Yu, Yan Feng Wang
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Exponential Stability in Mean Square of Stochastic Functional Differential Equations with Infinite Delay

Acta Applicandae Mathematicae, 2021
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Li, Zhi, Xu, Liping
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Quantitative mean square exponential stability and stabilization of stochastic systems with Markovian switching

Journal of the Franklin Institute, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan, Zhiguo, Song, Yunxia, Park, Ju H.
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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, Hongxia Cui   +3 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, Lesław Socha
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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 Mean-Square Stability of Stochastic Singular Systems with Markov Switching

2018 37th Chinese Control Conference (CCC), 2018
This paper studies the exponential mean-square stability problem for a class of stochastic singular systems with Markov switching. First, we convert the original system into a differential-algebraic expression on the basis of singular value decomposition approach.
Ticao Jiao, Wei Xing Zheng, Guangdeng Zong   +2 more
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