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 rigorous mathematical framework for determining control policies that optimise a given performance criterion while accounting for system dynamics and constraints. Its ...

Researchers from the Institute of Industrial Science, The University of Tokyo have applied stochastic optimal control theory ...

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 ...

A model of optimal diet selection on depletable resources is presented which considers the effects of exploitative competitors on the optimal behavior. In the absence of any competitors, one of three ...

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

Model Predictive Control (MPC) is a modern feedback law that generates the control signal by solving an optimal control problem at each sampling time. This approach is capable of maximizing a certain ...

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 ...

There’s been a lot of discussion recently about autonomous databases, which offer the promise of keeping database systems stable and performant while alleviating much of the tuning and configuration ...