Hamiltonian dynamics with external forces and observations

DOI10.1007/BF01786977zbMath0538.58010OpenAlexW1983696948MaRDI QIDQ3324692

Arjan J. Van der Schaft

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01786977

zbMATH Keywords

network theoryfull Hamiltonian system

Mathematics Subject Classification ID

Hamilton's equations (70H05) Observability (93B07) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (16)

Geometric control theory ⋮ Geometrical and topological methods in optimal control theory ⋮ Observability of smooth control systems ⋮ On the relationship between the \textit{energy shaping} and the \textit{Lyapunov constraint based} methods ⋮ Controlled invariance for hamiltonian systems ⋮ Time-reversible Hamiltonian systems ⋮ Reduction of Hamiltonian systems with symmetry ⋮ Regular reduction of controlled Hamiltonian system with symplectic structure and symmetry ⋮ Stabilizability of nonholonomic control systems ⋮ Stabilization of rigid body dynamics by internal and external torques ⋮ Symmetries, conservation laws, and time reversibility for Hamiltonian systems with external forces ⋮ The Equivalence of Controlled Lagrangian and Controlled Hamiltonian Systems ⋮ Networks of Hamiltonian systems and feedback ⋮ Stabilization of Hamiltonian systems ⋮ Hamiltonian and self-adjoint control systems ⋮ Symmetries, constants of the motion, and reduction of mechanical systems with external forces

Cites Work

• Symmetries and conservation laws for Hamiltonian systems with inputs and outputs: A generalization of Noether's theorem
• Observability and Controllability for Smooth Nonlinear Systems
• Nonlinear controllability and observability
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