Despite nearing his first podiumless season, Lewis Hamilton says he has no regrets about joining Ferrari in 2025. Hamilton’s move to Ferrari paired the sport’s most successful driver with its most ...

ABSTRACT: We study some nonlinear optimal control problems under state constraint. We construct extremal flows by differential-algebraic equations to solve an optimal control problem subject to mixed ...

Abstract: In this paper, we establish a connection between the spectral theory of the Koopman operator and the solution of the Hamilton Jacobi (HJ) equation. The HJ equation occupies a central place ...

Malaria is a mosquito-borne disease that results from an individual being infected by any of the five Plasmodium species known as P. falciparum, P. vivax, P.ovale, P. malariae and P.knowlesi [1–3].

PyDiffGame is a Python implementation of a Nash Equilibrium solution to Differential Games, based on a reduction of Game Hamilton-Bellman-Jacobi (GHJB) equations to Game Algebraic and Differential ...

Masters dissertation numerically solving Hamilton-Jacobi-Bellman (HJB) equation in an extension of Merton's portfolio allocation problem using finite difference.

ABSTRACT: 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 ...

Abstract: For an infinite-horizon control problem, the optimal control can be represented by the stable manifold of the characteristic Hamiltonian system of Hamilton–Jacobi–Bellman (HJB) equation in a ...

Warm inflation in the framework of locally rotationally symmetric Bianchi type I universe model in the Hamilton-Jacobi formalism is being considered. Matter-Radiation fluid in warm inflation, endowed ...

This article seeks to relate a recent proposal for the association of a covariant Field Theory with a string or brane Lagrangian to the Hamilton-Jacobi formalism for strings and branes. It turns out ...

The computation of curvature-penalized geodesics, which is at the foundation of many recent applications, is expectedly and unfortunately inadequate to address curvilinear structure tracking tasks ...