Uniqueness of weakly minimal analytic realizations

DOI10.1109/TAC.1983.1103124zbMath0509.57024OpenAlexW2054553182MaRDI QIDQ4747254

Jean-Paul Gauthier, Guy Bornard

Publication date: 1983

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.1983.1103124

zbMATH Keywords

quotient manifoldfibre bundle structurescomplete symmetry vector fieldsrealization of analytic control systemsstrongly regular equivalence relations on a connected smooth manifold

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Differential topology (57R99) Differentiable manifolds, foundations (58A05) Realizations from input-output data (93B15) Fiber bundles in algebraic topology (55R10)

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Geometric control theory ⋮ Geometrical and topological methods in optimal control theory ⋮ Multi-realization of nonlinear systems ⋮ Existence and uniqueness of minimal realizations in the \(C^\infty\) case ⋮ Realisation locale des systèmes non linéaires, algèbres de Lie filtrees transitives et séries generatrices non commutatives