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.

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

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 numerical …

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.

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 Pontryagin …

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 designer …

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 overview …

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 the control inputs …