Open-loop solution of a defender–attacker–target game:penalty function approach  

作　　者：Vladimir Turetsky Valery Y.Glizer 

机构地区：[1]Department of Applied Mathematics,Ort Braude College of Engineering,Karmiel,Israel

出　　处：《Journal of Control and Decision》2019年第3期166-190,共25页控制与决策学报（英文）

摘　　要：A defender–attacker–target problem with non-moving target is considered.This problem is modelled by a pursuit-evasion zero-sum differential game with linear dynamics and quadratic cost functional.In this game,the pursuer is the defender,while the evader is the attacker.The objective of the pursuer is to minimise the cost functional,while the evader has two objectives:to maximise the cost functional and to keep a given terminal state inequality constraint.The open-loop saddle point solution of this game is obtained in the case where the transfer functions of the controllers for the defender and the attacker are of arbitrary orders.

关 键 词：Defender–attacker–target problem pursuit-evasion differential game zero-sum linear-quadratic game terminal state inequality constraint 

分 类 号：O17[理学—数学]