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 seeks to determine control strategies that drive dynamical systems to meet performance objectives, while mixed-integer optimisation incorporates both continuous and discrete ...

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 ...

(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 ...

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 ...

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

Joint research led by Sosuke Ito of the University of Tokyo has shown that nonequilibrium thermodynamics, a branch of physics that deals with constantly changing systems, explains why optimal ...