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- W3147994014 abstract "We give necessary and/or sufficient conditions for stochastic stability of second-order linear autonomous systems with parameters, which are perturbed by a random process of the white noise type. The Ito's and Stratonovich's forms of stochastic differential equations representing the system with white noise are considered. The investigation of stochastic stability of the systems considered is based on the construction of special Lyapunov functions in the quadratic forms. The bifurcation value of the white noise intensity at which a system first becomes unstable is presented in the analytical expression. As an example a damped harmonic oscillator with randomly perturbed parameters is considered." @default.
- W3147994014 created "2021-04-13" @default.
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- W3147994014 date "2021-04-04" @default.
- W3147994014 modified "2023-10-14" @default.
- W3147994014 title "Stochastic stability criteria for two-dimensional linear autonomous systems perturbed by white noise" @default.
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- W3147994014 doi "https://doi.org/10.48550/arxiv.2104.01637" @default.
- W3147994014 hasPublicationYear "2021" @default.
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