The seemingly unpredictable, and thereby uncontrollable, dynamics of living organisms have perplexed and fascinated scientists for a long time. While these dynamics can be represented by reaction ...

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 ...

Differential equations with advanced and delayed arguments arise in the optimality conditions of continuous time growth models with delays. In this paper, we use optimal control theory with delays, ...

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 ...

A new artificial intelligence breakthrough developed by researchers in the College of Engineering and Computer Science at Florida Atlantic University offers a smarter, more efficient way to manage ...