Optimal Control Theory

Optimal Control Theory is a mathematical approach used to determine the best way to guide a system from one state to another while minimizing or maximizing a specific goal, like energy use, cost, or time. Imagine steering a vehicle or managing a project so that the outcome is achieved most efficiently. The theory considers the system's dynamics, constraints, and desired objectives, providing a strategy for decision-making that results in optimal performance. It has applications across engineering, economics, and science, helping to find the best course of action in complex, dynamic situations.