Estimation, principal components and Hamiltonian systems

DOI10.1016/0167-6911(85)90005-2zbMath0607.93057OpenAlexW2044595660WikidataQ125618726 ScholiaQ125618726MaRDI QIDQ1086216

Anthony M. Bloch

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0167-6911(85)90005-2

zbMATH Keywords

Hamiltoniansymplectic geometrycritical pointsadjoint actioncomplete integrabilityleast squares estimation

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Groups acting on specific manifolds (57S25) Estimation and detection in stochastic control theory (93E10) Linear systems in control theory (93C05) Identification in stochastic control theory (93E12) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Complex Lie groups, group actions on complex spaces (32M05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (9)

Geometry of matrix decompositions seen through optimal transport and information geometry ⋮ A subspace approach to balanced truncation for model reduction of nonlinear control systems ⋮ Dynamical methods for polar decomposition and inversion of matrices ⋮ A new formulation of the generalized Toda lattice equations and their fixed point analysis via the momentum map ⋮ Structure-preserving model reduction for mechanical systems ⋮ Total linear least squares and the algebraic Riccati equation ⋮ Completely integrable gradient flows ⋮ Identification and estimation of dynamic errors-in-variables models ⋮ An Infinite-Dimensional Hamiltonian System on Projective Hilbert Space

Cites Work

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