4.5 Article

Stochastic stabilization of differential systems with general decay rate

Journal

SYSTEMS & CONTROL LETTERS
Volume 48, Issue 5, Pages 397-406

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/S0167-6911(02)00293-1

Keywords

pathwise stability of stochastic systems; stabilization; cylindrical Wiener process; Ito's noise; general decay rate

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Some sufficient conditions concerning stability of solutions of stochastic differential evolution equations with general decay rate are first proved. Then, these results are interpreted as suitable stabilization ones for deterministic and stochastic systems. Also, they permit us to construct appropriate linear stabilizers in some particular situations. (C) 2002 Elsevier Science B.V. All rights reserved.

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