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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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Mean-square asymptotic stability of linear hereditary systems
International Journal of Systems Science, 1988A sufficient condition is given for the mean-square asymptotic stability of the trivial solution of time-homogeneous stochastic linear functional differential equations. We use the stochastic Lyapunov function method and the resulting condition is, in some sense, an extension of the condition for linear ordinary differential equations.
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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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Mean square stability for discrete linear stochastic systems.
1993Preprint: Weierstraß-Institut für Angewandte Analysis und Stochastik, vol ...
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On exponential stability in mean square of neutral stochastic functional differential equations
Systems and Control Letters, 2021Pham Huu Anh Ngoc
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Mean square exponential stability of uncertain stochastic delayed neural networks
Physics Letters, Section A: General, Atomic and Solid State Physics, 2008Wu-Hua Chen, Xiaomei Lu
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Mean-square exponential input-to-state stability of stochastic delayed neural networks
Neurocomputing, 2014Quanxin Zhu, Jinde Cao
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