A Numerical Analysis for Pursuit-Evasion Games under the Stackelberg Eqilibrium

TL;DR

This paper introduces a numerical framework using the Semi-DCNLP method for pursuit-evasion differential games under Stackelberg equilibrium, validated through spacecraft trajectory comparisons.

Contribution

It presents the Semi-DCNLP optimization solver for pursuit-evasion games and demonstrates its effectiveness against traditional shooting methods.

Findings

Semi-DCNLP produces trajectories closely matching shooting method results.

The approach validates the use of Semi-DCNLP in pursuit-evasion differential games.

The method is applicable to spacecraft pursuit-evasion scenarios.

Abstract

This study presents a numerical analysis framework for pursuit--evasion differential games under the Stackelberg equilibrium. The Semi-DCNLP method is introduced as an optimization solver for flight path optimization problems formulated under the Stackelberg equilibrium. In a spacecraft pursuit-evasion differential game, the Semi-DCNLP method produces trajectories that closely match those obtained with a shooting method. This agreement supports the validity of the proposed approach.