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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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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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Exponential stability in mean square for stochastic differential equations
Stochastic Analysis and Applications, 1990In 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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On the mean-square stability for a harmonic oscillator with random parameter
Ukrainian Mathematical Journal, 1992The second order linear differential equation with multiplicative random parameter, describing the Ornstein-Uhlenbeck process is studied and sufficient conditions of stochastic stability are obtained.
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A Novel Approach to Mean Square Exponential Stability of Stochastic Delay Differential Equations
IEEE Transactions on Automatic Control, 2021Pham Huu Anh Ngoc, Le Trung Hieu
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