The Observation Space and Realizations of Finite Volterra Series

DOI10.1137/0325019zbMath0616.93015OpenAlexW2075248682MaRDI QIDQ4726106

P. C. Collingwood, Peter E. Crouch

Publication date: 1987

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0325019

zbMATH Keywords

Lie algebraaffine control systemscanonical formhomogeneous functionsrealizationgraded vector spacesfinite Volterra seriesalgebraic estimation theory

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Nonlinear systems in control theory (93C10) Geometric methods (93B27) Canonical structure (93B10) Minimal systems representations (93B20) Transformations (93B17) Algebraic methods (93B25) Nilpotent and solvable Lie groups (22E25) Realizations from input-output data (93B15) Lie algebras and Lie superalgebras (17B99)

Related Items (6)

Some remarks on estimation algebras ⋮ Geometrical and topological methods in optimal control theory ⋮ Observability of smooth control systems ⋮ Approximation and realization of Hankel matrices ⋮ Computable convergence bounds of series expansions for infinite dimensional linear-analytic systems and application ⋮ Stochastic approximation and realization of Hankel matrices

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