On stabilization of partial differential equations by noise (Q2725474)
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scientific article; zbMATH DE number 1619255
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On stabilization of partial differential equations by noise |
scientific article; zbMATH DE number 1619255 |
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On stabilization of partial differential equations by noise (English)
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14 February 2002
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stabilization of stochastic partial differential equations
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almost sure exponential stability
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The authors present an investigation to stabilization of stochastic partial differential equations by noise. In particular, some stability criteria from \textit{P.-L. Chow} [J. Math. Anal. Appl. 89, 400-419 (1982; Zbl 0496.60059)] and \textit{U. G. Haussmann} [ibid. 65, 219-235 (1978; Zbl 0385.93051)] are improved and subsequently applied to certain situations, on which the original criteria commonly do not work, to ensure almost sure exponential stability. This paper also extends to infinite dimension some results due to \textit{X. Mao} [Syst. Control Lett. 23, No. 4, 279-290 (1994; Zbl 0820.93071)] on stabilization of differential equations in finite dimension.
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