Stability of elastic and viscoelastic systems under a random perturbations of their parameters (Q1912024)
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scientific article; zbMATH DE number 873781
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of elastic and viscoelastic systems under a random perturbations of their parameters |
scientific article; zbMATH DE number 873781 |
Statements
Stability of elastic and viscoelastic systems under a random perturbations of their parameters (English)
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8 September 1996
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The paper is concerned with the investigation of the almost sure stability of elastic and viscoelastic systems, when their parameters are undergoing a random wide-band stationary process. The parameters are parametric loads, characteristics of external damping and material viscosity. With the help of Lyapunov's direct method, the sufficient condition for the almost sure asymptotic stability for distributed parameter systems with respect to perturbations of initial conditions of an arbitrary form is obtained.
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eigenfunction
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viscoelastic rod
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almost sure stability
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parametric loads
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external damping
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material viscosity
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Lyapunov's direct method
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sufficient condition
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asymptotic stability
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