Controlling systems of ordinary differential equations is ubiquitous in science and
engineering. For finding an optimal feedback controller, the value function and associated …

Convergence of the policy iteration method for discrete and continuous optimal control
problems holds under general assumptions. Moreover, in some circumstances, it is also …

A learning based method for obtaining feedback laws for nonlinear optimal control problems
is proposed. The learning problem is posed such that the open loop value function is its …

Designing optimal feedback controllers for nonlinear dynamical systems requires solving
Hamilton-Jacobi-Bellman equations, which are notoriously difficult when the state dimension …

A deep learning approach for the approximation of the Hamilton-Jacobi-Bellman partial
differential equation (HJB PDE) associated to the Nonlinear Quadratic Regulator (NLQR) …

Inventory of raw materials is a big deal in every production process, both in company
production and home business production. In order to meet consumer demand, a business …

In the dynamic programming approach to optimal control problems a crucial role is played
by the value function that is characterized as the unique viscosity solution of a Hamilton …

Hugo de Souza Oliveira A RBF approach to the control of PDEs using Dynamic Programming
equations Page 1 Hugo de Souza Oliveira A RBF approach to the control of PDEs using …

Abstract Optimal control and Reinforcement Learning deal both with sequential decision-
making problems, although they use different tools. In this thesis, we have investigated the …