scholarly journals Hamilton–Jacobi–Bellman Equations with Time-Measurable Data and Infinite Horizon

2019 ◽  
Vol 26 (1) ◽  
Author(s):  
V. Basco ◽  
H. Frankowska
Keyword(s):  
Infinite Horizon ◽  
Bellman Equations ◽  
Hamilton Jacobi Bellman

scholarly journals Policy iteration for Hamilton–Jacobi–Bellman equations with control constraints

2021 ◽  
Author(s):  
Sudeep Kundu ◽  
Karl Kunisch
Keyword(s):  
Linear Equations ◽  
Hjb Equation ◽  
Policy Iteration ◽  
Optimal Feedback Control ◽  
Iteration Step ◽  
Control Constraints ◽  
Hjb Equations ◽  
Bellman Equations ◽  
Hamilton Jacobi Bellman ◽  
Feedback Control Theory

AbstractPolicy iteration is a widely used technique to solve the Hamilton Jacobi Bellman (HJB) equation, which arises from nonlinear optimal feedback control theory. Its convergence analysis has attracted much attention in the unconstrained case. Here we analyze the case with control constraints both for the HJB equations which arise in deterministic and in stochastic control cases. The linear equations in each iteration step are solved by an implicit upwind scheme. Numerical examples are conducted to solve the HJB equation with control constraints and comparisons are shown with the unconstrained cases.

scholarly journals A Patchy Dynamic Programming Scheme for a Class of Hamilton--Jacobi--Bellman Equations

2012 ◽  
Vol 34 (5) ◽  
pp. A2625-A2649 ◽  
Author(s):  
Simone Cacace ◽  
Emiliano Cristiani ◽  
Maurizio Falcone ◽  
Athena Picarelli
Keyword(s):  
Dynamic Programming ◽  
Bellman Equations ◽  
Hamilton Jacobi Bellman ◽  
Dynamic Programming Scheme
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