Results 261 to 270 of about 1,235,951 (289)

Mean-square stabilization for stochastic systems with multiple delays

Proceedings of the 33rd Chinese Control Conference, 2014
This 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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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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Mean Square Exponential Stability for some Stochastic Linear Discrete Time Systems

European Journal of Control, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dragan, Vasile, Morozan, Toader
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On the mean square stability of linear difference equations

Applied Mathematics and Computation, 1979
The mean square asymptotic stability of linear stochastic difference equations is studied. The Liapunov method of stability analysis is extended to stochastic difference equations, and several criteria for the mean square stability of the equilibrium state are established. Two examples of the application of the stability theorems are also considered.
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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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Mean-square stability of elastic bodies in supersonic flow

Journal of Sound and Vibration, 1974
The 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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Sampled-Data Feedback Stabilization in Mean Square for Stochastic Homogeneous Systems

IEEE Transactions on Automatic Control
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xin Yu, Wei Lin
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Mean Square Stability for Discrete Bounded Linear Systems in Hilbert Space

SIAM Journal on Control and Optimization, 1985
The author considers a discrete linear dynamical system evolving in a stochastic environment and modelled by the following autonomous difference equation \(x_{n+1}=Ax_ n+Bu_{n+1},\quad x_ 0=Bu_ 0,\) where \(A\in {\mathcal B}[H,H]\) and \(B\in {\mathcal B}[U,H]\).
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Correlogram, predictability error growth, and bounds of mean square error of solar irradiance forecasts

Renewable and Sustainable Energy Reviews, 2022
Dazhi Yang
exaly