DYNAMIC OPTIMAL CONTROL PROBLEMS IN HAMILTONIAN AND LAGRANGIAN SYSTEMS

DOI10.17654/DE024020175zbMath1499.49006OpenAlexW3158675620WikidataQ115234530 ScholiaQ115234530MaRDI QIDQ5076301

Atefeh Hasan-Zadeh

Publication date: 16 May 2022

Published in: Advances in Differential Equations and Control Processes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.17654/de024020175

zbMATH Keywords

optimal control problemHamiltonian systemPoisson geometryLagrangian systemHamilton-Jacobi-Bellman PDEvariational symmetry group

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Hamilton-Jacobi equations in optimal control and differential games (49L12)

Cites Work

• Differential geometry and mathematical physics. I: Manifolds, Lie groups and Hamiltonian systems
• Developing a new approach for (biological) optimal control problems: application to optimization of laccase production with a comparison between response surface methodology and novel geometric procedure
• Nonlinear optimal control: a numerical scheme based on occupation measures and interval analysis
• A NOTE ON VARIATIONAL SYMMETRIES OF THE CONSTRAINED VARIATIONAL PROBLEMS
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