Physicist Richard Feynman turned a lunch dilemma into a math problem. Researchers finally cracked his notes and found people ...

Abstract: This article focuses on optimal control problems for a class of continuous-time affine nonlinear systems with control constraints. Most of the existing optimal control algorithms face ...

Abstract: A novel technique to solve optimal control problems with state constraints is proposed. We exploit the theory of exact penalty functions, used in mathematical programming, to construct a ...

With the promotion and development of clean energy, it is challenging to ensure the optimization of control performance in frequency control of the hydropower-photovoltaic hybrid microgrid system ...

In this paper, we use partial differential equations to deal with constraint optimal control problems. We construct extremal flows by differential-algebraic equation to approximate the optimal ...

This repository uses differentiable PDE solvers for optimal control problems. Therein, two different approaches are shown: $$\begin{align*} \min_{f^{\text{guess ...

We consider a continuous-time model of optimal consumption and pension insurance for a consumer with an uncertain lifetime. In the model, the consumer earns a stochastic wage income during her working ...

A rocket launch. Our nearest stellar neighbor. A Netflix show. All of these things have something in common: They must contend with the "three-body problem." But exactly what is this thorny physics ...