Pursuit-Evasion Game with Hybrid System of Dynamics

TL;DR

This paper analyzes a pursuit-evasion differential game involving hybrid dynamics in Hilbert space, demonstrating that the pursuer can always secure a winning strategy despite the system's complexity.

Contribution

It introduces a novel pursuit-evasion game model with hybrid dynamics in infinite-dimensional space and proves the pursuer's guaranteed winning strategy.

Findings

Pursuer has a guaranteed winning strategy.

The game involves hybrid system dynamics in Hilbert space.

Control constraints are integral-based.

Abstract

We consider a pursuit-evasion differential game with a Hybrid system of dynamics in Hilbert space with integral constraints on the control functions of players. We show that the pursuer has a winning strategy.