Uma Abordagem por Jogos Diferenciais Linear-Quadrático para o Problema Líder-Seguidor

Abstract

The article addresses a leader-follower game problem in a scenario with two groups of agents. The first group aims to meet in the space and stay close to the second group, while the second group seeks to follow a reference. To model the movement of the agents and cost functions, a linear-quadratic differential game approach is used. The main goal of the paper is to present a methodology to write the problem as an open-loop Nash equilibrium problem with a finite horizon, solvable through coupled asymmetric Riccati differential equations. The paper is concluded with a numerical example.