Lagrangian and Hamiltonian formulation for infinite-dimensional systems – a variational point of view

DOI10.1080/13873954.2016.1237968zbMath1486.49008OpenAlexW2524821174MaRDI QIDQ5035693

Kurt Schlacher, Markus Schöberl

Publication date: 22 February 2022

Published in: Mathematical and Computer Modelling of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/13873954.2016.1237968

zbMATH Keywords

Lagrange multipliercalculus of variationsdifferential geometryHamiltonian formulationLagrangian systems

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• Port-Hamiltonian modelling and energy-based control of the Timoshenko beam. An approach based on structural invariants
• Hamiltonian field theory
• A multisymplectic framework for classical field theory and the calculus of variations. II: Space + time decomposition
• Mathematical modeling for nonlinear control: a Hamiltonian approach
• Hamiltonian formulation of distributed-parameter systems with boundary energy flow
• Jet bundle formulation of infinite-dimensional port-Hamiltonian systems using differential operators
• First-order Hamiltonian field theory and mechanics
• Unambiguous formalism for higher order Lagrangian field theories
• Modeling and Control of the Timoshenko Beam. The Distributed Port Hamiltonian Approach
• Variational methods, multisymplectic geometry and continuum mechanics
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