Asymptotic stability of structural systems based on Lyapunov exponents and moment Lyapunov exponents (Q1370813)
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scientific article; zbMATH DE number 1079933
| Language | Label | Description | Also known as |
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| English | Asymptotic stability of structural systems based on Lyapunov exponents and moment Lyapunov exponents |
scientific article; zbMATH DE number 1079933 |
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Asymptotic stability of structural systems based on Lyapunov exponents and moment Lyapunov exponents (English)
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28 October 1997
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The stability of a stationary solution of a nonlinear stochastic system is studied by linearization. The resulting (linear) equations contain stochastic parameters. The authors obtain an expression for moment Lyapunov exponent of this system, and apply the results to the problem of an elastic beam under the action of follower force, and to a model of a vehicle traveling over a rough road.
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almost-sure stability
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elastic beam under follower force
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nonlinear stochastic system
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linearization
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stochastic parameters
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vehicle
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rough road
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