Hamiltonian and self-adjoint control systems

DOI10.1016/0167-6911(87)90093-4zbMath0616.93016OpenAlexW2150859671MaRDI QIDQ1821730

Peter E. Crouch, Arjan J. Van der Schaft

Publication date: 1987

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

Full work available at URL: https://research.utwente.nl/en/publications/hamiltonian-and-selfadjoint-control-systems(47e18222-1518-4ebc-9c9f-8231da1aae1c).html

zbMATH Keywords

variational criterionaffine analytic control systemsHamiltonian realizationself- adjointness

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Hamilton's equations (70H05) Minimal systems representations (93B20) Linear symmetric and selfadjoint operators (unbounded) (47B25) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Realizations from input-output data (93B15) Control/observation systems governed by ordinary differential equations (93C15) Applications of variational problems to control theory (58E25)

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Nonholonomic mechanical systems with symmetry ⋮ Analysis of Lur'e dominant systems in the frequency domain ⋮ Virtual Lagrangian Construction Method for Infinite-Dimensional Systems with Homotopy Operators

Cites Work

• Disturbance decoupling by observation feedback for Hamiltonian systems
• Hamiltonian dynamics with external forces and observations
• On finite volterra series which admit hamiltonian realizations
• Existence and uniqueness of minimal realizations of nonlinear systems
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