Stable dynamical systems under small perturbations

DOI10.1016/0022-247X(87)90107-7zbMath0652.60060MaRDI QIDQ1107213

Zabczyk, Jerzy

Publication date: 1987

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

large deviationscontrol systemsdegenerate diffusionsasymptotics of the mean exit timeexponential estimates of Freidlin and Venttzel'

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic stability in control theory (93E15) Diffusion processes (60J60) Large deviations (60F10)

Cites Work

• Exit problem and control theory
• Large fluctuations for a nonlinear heat equation with noise
• ON SMALL RANDOM PERTURBATIONS OF DYNAMICAL SYSTEMS
• An introduction to the theory of large deviations
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