Journal
SYSTEMS & CONTROL LETTERS
Volume 53, Issue 1, Pages 41-50Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.sysconle.2004.02.020
Keywords
exponential stability; stabilisation; Ito noise; Stratonovich noise; stochastic PDE
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Some results concerning the stability and stabilisation of stochastic linear partial differential equations in the sense of Stratonovich are proved. The main result ensures that a deterministic linear PDE can be stabilised by adding a suitable Stratonovich noise if and only if the linear partial differential operator has negative trace. (C) 2004 Elsevier B.V. All rights reserved.
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