Nonlinear optimal control as quantum mechanical eigenvalue problems

DOI10.1016/J.AUTOMATICA.2005.04.007zbMath1100.49028OpenAlexW2048089084MaRDI QIDQ2576121

Teturo Itami

Publication date: 8 December 2005

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2005.04.007

zbMATH Keywords

Hamilton-Jacobi equationQuantum theoryEigenvalue analysisLinear Hamiltonian operatorNonlinear optimal feedback control

Mathematics Subject Classification ID

Optimal feedback synthesis (49N35) Feedback control (93B52) General mathematical topics and methods in quantum theory (81Q99) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (4)

Solving quantum optimal control problems by wavelets method ⋮ Quantum robots perturbed by Levy processes: stochastic analysis and simulations ⋮ Lyapunov-based unified control method for closed quantum systems ⋮ A real-time algorithm for nonlinear infinite horizon optimal control by time axis transformation method

Cites Work

• Unnamed Item
• On a discrete approximation of the Hamilton-Jacobi equation of dynamic programming
• Galerkin approximations of the generalized Hamilton-Jacobi-Bellman equation
• On the Hamiltonian formulation of nonholonomic mechanical systems
• Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
• On Deterministic Control Problems: An Approximation Procedure for the Optimal Cost I. The Stationary Problem
• Optimal Regulation of Nonlinear Dynamical Systems

This page was built for publication: Nonlinear optimal control as quantum mechanical eigenvalue problems