Discrete Hamilton–Jacobi Theory

DOI10.1137/090776822zbMath1286.70025arXiv0911.2258OpenAlexW1988645344MaRDI QIDQ3097565

Tomoki Ohsawa, Melvin Leok, Anthony M. Bloch

Publication date: 10 November 2011

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.2258

zbMATH Keywords

dynamic programmingBellman equationRiccati equationdiscrete-time optimal control

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Discrete-time control/observation systems (93C55) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (13)

Discrete Hamilton–Jacobi theory for systems with external forces ⋮ A Hamilton–Jacobi formalism for higher order implicit Lagrangians ⋮ Lagrangian submanifolds and the Hamilton-Jacobi equation ⋮ On the geometry of the Hamilton-Jacobi equation and generating functions ⋮ Optimal controllability of manpower system with linear quadratic performance index ⋮ Simulation and trajectory optimization of articulated robots via spectral variational integrators ⋮ Hamilton-Jacobi theory in multisymplectic classical field theories ⋮ Optimal control of partitioned hybrid systems via discrete-time Hamilton-Jacobi theory ⋮ Generating functionals and Lagrangian partial differential equations ⋮ New results for second order discrete Hamiltonian systems ⋮ Lie group spectral variational integrators ⋮ Geometry of the discrete Hamilton-Jacobi equation: applications in optimal control ⋮ The Discrete-Time Geometric Maximum Principle

This page was built for publication: Discrete Hamilton–Jacobi Theory