Optimal control theory for differential equations is a pivotal discipline that combines rigorous mathematical analysis with practical applications in engineering, economics, and the natural sciences.

Recent advancements in thermodynamics have increasingly drawn on the language of differential geometry and systems control to reformulate classical principles. Geometric structures offer a rigorous ...

Control theory is the study of how one can use feedback to modify the behavior of a system — such as a robot, vehicle, chemical or biological process, power grid, stock portfolio, or an ecosystem — so ...

This system utilizes machine learning algorithms to optimize the operation of particle accelerators, reducing manual intervention and enhancing precision in real-time control. By integrating virtual ...