Stochastic stabilization of differential systems with general decay rate

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 appropr...

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Bibliographic Details
Published in:Systems & control letters 2003-04, Vol.48 (5), p.397-406
Main Authors: Caraballo, Tomás, Garrido-Atienza, Marı́a J., Real, José
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Cylindrical Wiener process
Exact sciences and technology
General decay rate
Ito's noise
Modelling and identification
Pathwise stability of stochastic systems
Stabilization
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Summary: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.
ISSN:0167-6911
1872-7956
DOI:10.1016/S0167-6911(02)00293-1