Optimal control theory is a branch of control theory that deals with finding a control for a dynamical system over a period of time such that an objective function is optimized. [1]

Optimal control is a condition of dynamic systems that satisfy design objectives. Optimal control is achieved with control laws that execute following defined optimality criteria.

This paper aims to give a brief introduction to the optimal control theory and attempts to derive some of the central results of the subject, in-cluding the Hamilton-Jacobi-Bellman PDE and the …

Near optimal, behaves like Newton. Far from optimal, much more efficient.

Optimal control theory is a powerful tool in mathematical optimization that allows us to find control functions that optimize the trajectory of a PDE with respect to some payoff function.

A method to solve dynamic control problems is by numerically integrating the dynamic model at discrete time intervals, much like measuring a physical system at particular time points. The …

We introduce a maximization principle useful for characterizing an optimal control, and will later recognize this as a first instance of the Pontryagin Maximum Principle.

Optimal control allows a control designer to specify the dynamic model and the desired outcomes, and the algorithm will compute an optimized control. This relieves some burden by letting the …

Apr 13, 2025 · Optimal control theory deals with finding a control law for a dynamical system over a given period of time such that an objective function is optimized. This chapter starts with an …

Jun 10, 2025 · Optimal control is a fundamental discipline in control systems that deals with finding the best control strategy to optimize a system's performance. It involves determining …