Unitary immersions of nonlinear systems

DOI10.1007/BF01704911zbMath0626.93028OpenAlexW2035637985MaRDI QIDQ3030663

J.-P. Guerin, Jean-Paul Gauthier

Publication date: 1986

Published in: Mathematical Systems Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01704911

zbMATH Keywords

analytic manifoldweak controllabilitycomplete analytic vector fieldsquantization of Hamiltonian systemsunitary immersion

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear systems in control theory (93C10) Observability (93B07) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Control/observation systems governed by ordinary differential equations (93C15) Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

Related Items (3)

Geometrical and topological methods in optimal control theory ⋮ Synthesis of nonlinear observers: A harmonic-analysis approach ⋮ Orthogonal representations of nonlinear systems and input-output maps

Cites Work

• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• A Finiteness Criterion for Nonlinear Input–Output Differential Systems
• Transitivity of Families of Invariant Vector Fields on The Semidirect Products of Lie Groups
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