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.

Optimal control theory provides a mathematical framework for devising strategies that steer dynamical systems towards a desired performance while minimising a prescribed cost function. In recent ...

"We are surrounded by a huge number of systems - biological, technical, economic, which we can influence, which we can control. The task is to do it optimally, for example, reaching the desired point ...

The natural Hamiltonian function in optimal control is generally not differentiable. However, it is possible to use the theory of generalized gradients (which we discuss as a preliminary) to obtain ...

This is a preview. Log in through your library . Abstract The behavior of the extremal curves in optimal control theory is much more complex than that of their namesakes in the classical calculus of ...

(Nanowerk News) It is control that turns scientific knowledge into useful technology – control over aerodynamic processes allows a pilot to land an aircraft, and control over the structure of atomic ...

Differential equations and systems analysis. Undergraduate controls and/or signal processing course would satisfy this requirement. A graduate-level systems course is also helpful, but not necessary.

Merton, Robert C. "Analytical Optimal Control Theory as Applied to Stochastic and Non-Stochastic Economics." Diss., Massachusetts Institute of Technology (MIT), 1970.