On the mean-square stability for a harmonic oscillator with random parameter

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1992 English Publisher:Springer Science and Business Media LLCJournal:Ukrainian Mathematical Journal, volume 44, pages 1,167-1,169 (issn: 0041-5995, eissn: 1573-9376,

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Authors: Bobrik, R. V.;

doi: 10.1007/bf01058379

On the mean-square stability for a harmonic oscillator with random parameter

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Abstract

The 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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Keywords

Ordinary differential equations and systems with randomness, stochastic stability, Stochastic stability in control theory, Ornstein-Uhlenbeck process, Control/observation systems governed by ordinary differential equations

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