Optimal control, contact dynamics and Herglotz variational problem

DOI10.1007/s00332-022-09861-2OpenAlexW3037411837MaRDI QIDQ2105220

Manuel de León, Manuel Lainz, Miguel C. Muñoz-Lecanda

Publication date: 8 December 2022

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.14326

zbMATH Keywords

optimal controlPontryagin maximum principlepresymplectic systemsHerglotz principlecontact Hamioltonian systems

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control of mechanical systems (70Q05) Control problems involving ordinary differential equations (34H05) Dynamical systems in control (37N35) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Variational principles of physics (49S05) Contact systems (37J55)

Related Items (3)

On the Herglotz variational problem ⋮ The non-holonomic Herglotz variational problem ⋮ Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A contact covariant approach to optimal control with applications to sub-Riemannian geometry
• Geometric approach to Pontryagin's maximum principle
• First Noether-type theorem for the generalized variational principle of Herglotz
• Geometric reduction in optimal control theory with symmetries
• Some geometric aspects of variational calculus in constrained systems
• General symmetries in optimal control
• Contact Hamiltonian dynamics: Variational principles, invariants, completeness and periodic behavior
• Contact geometry of the Pontryagin maximum principle
• Presymplectic high order maximum principle
• A contact geometry framework for field theories with dissipation
• A \(K\)-contact Lagrangian formulation for nonconservative field theories
• Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. E Crouch, J. E. Marsden and D. Zenkov. With scientific input from P. S. Krishnaprasad and R. M. Murray
• Contact Hamiltonian mechanics
• The geometrical theory of constraints applied to the dynamics of vakonomic mechanical systems: The vakonomic bracket
• Contact geometric descriptions of vector fields on dually flat spaces and their applications in electric circuit models and nonequilibrium statistical mechanics
• Co-isotropic and Legendre - Lagrangian submanifolds and conformal Jacobi morphisms
• Configuration Controllability of Mechanical Systems Underactuated by One Control
• Dissipative Control of Mechanical Systems: A Geometric Approach
• Simple Mechanical Control Systems with Constraints and Symmetry
• Applications of Contact Geometry and Topology in Physics
• Contact geometry for simple thermodynamical systems with friction
• Contact Hamiltonian systems
• Contact geometry and thermodynamics
• Partial Stabilization of Input-Output Contact Systems on a Legendre Submanifold
• Cosymplectic and contact structures for time-dependent and dissipative Hamiltonian systems
• An Introduction to Contact Topology
• A SURVEY OF LAGRANGIAN MECHANICS AND CONTROL ON LIE ALGEBROIDS AND GROUPOIDS
• Symmetries in vakonomic dynamics: Applications to optimal control
• Singular Lagrangians and precontact Hamiltonian systems

This page was built for publication: Optimal control, contact dynamics and Herglotz variational problem