On deformations, approximations and nonlinear filtering

DOI10.1016/S0167-6911(81)80009-6zbMath0473.93068MaRDI QIDQ1159176

Michiel Hazewinkel

Publication date: 1981

Published in: Systems \& Control Letters (Search for Journal in Brave)

zbMATH Keywords

nonlinear stochastic systemsapproximate finite dimensional filtersLie algebra methodsnonlinear recursive filteringnonlinear scalar observationsscalar quadratic and cubic sensor problems

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Nonlinear systems in control theory (93C10) Lie algebras and Lie superalgebras (17B99)

Related Items (3)

Nilpotent ordinary differential operators with polynomial coefficients ⋮ On lie algebras and finite dimensional filtering ⋮ Nonexistence of finite-dimensional filters for conditional statistics of the cubic sensor problem

Cites Work

• Existence and uniqueness of minimal realizations of nonlinear systems
• On lie algebras and finite dimensional filtering
• On the optimal filtering of diffusion processes
• On the Equivalence of Control Systems and the Linearization of Nonlinear Systems
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