Results 231 to 240 of about 309,715 (264)
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Stability in mean square of a linear stochastic differential equation
Journal of Soviet Mathematics, 1993See the review in Zbl 0674.60065.
Valeev, K. G., Sulima, I. M.
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Exponential mean-square stability of stochastic string hybrid systems
2009 European Control Conference (ECC), 2009The 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 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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Mean-square stabilization for stochastic systems with multiple delays
Proceedings of the 33rd Chinese Control Conference, 2014This paper is concerned with the mean-square stabilization problem for the stochastic systems with multiple delays. The stabilizing controller is given in terms of the modified algebraic Riccati equation. There are two key points in our arguments. The first one is to reduce the original system with multiple delays to one delay-free stochastic system ...
Juanjuan Xu, Huanshui Zhang
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Mean square stability of difference equations with a stochastic delay
Nonlinear Analysis: Theory, Methods & Applications, 2003The subject of the paper is a nonlinear nonautonomous delay difference equation \[ x(n+1) = f(n,x(n),x(n-1),\dots, x(n-\eta(n+1)),\quad n\in \mathbb N. \] The function \(\eta: \mathbb N \to \{ 1,2,\dots,r \}\) counts the number of delays, it is subject to a discrete Markov process.
Kolmanovskii, V.B. +2 more
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Mean square stabilization for stochastic switched fuzzy systems
2016 Chinese Control and Decision Conference (CCDC), 2016In this paper, a mean square stabilization criterion for stochastic switched fuzzy (SSF) systems is proposed. SSF system, which differs from existing ones, can often incorporate discrete states, continuous dynamics and randomness as well as their interactions in complex real-world systems.
Hong Yang +5 more
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Sampled-Data Feedback Stabilization in Mean Square for Stochastic Homogeneous Systems
IEEE Transactions on Automatic ControlzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xin Yu 0012, Wei Lin 0001
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Mean square stability criteria for stochastic feedback systems
International Journal of Systems Science, 1973Abstract In this paper several stability criteria are obtained for a class of stochastic feedback systems containing a multiplicative white noise element ; continuous time as well as discrete time systems are dealt with. Mean square stability properties are derived by means of Lyapunov theory ; the Lyapunov functions are generated by means of the ...
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Mean-square stability of elastic bodies in supersonic flow
Journal of Sound and Vibration, 1974The mean-square stability of elastic bodies in supersonic flow is studied. The external load consists of pressure fluctuations in the turbulent boundary layer, and of the pressure perturbation depending on the elastic body deformations according to the “piston theory”.
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