scholarly journals Differential Game for a Class of Warfare Dynamic Systems with Reinforcement Based on Lanchester Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Xiangyong Chen ◽  
Jianlong Qiu
Keyword(s):  
Game Theory ◽  
Differential Game ◽  
Dynamic Systems ◽  
Game Problem ◽  
Game Model ◽  
Optimal Reinforcement ◽  
Differential Game Theory ◽  
Military Conflicts ◽  
Lanchester Equation ◽  
Reinforcement Strategies

This paper concerns the optimal reinforcement game problem between two opposing forces in military conflicts. With some moderate assumptions, we employ Lanchester equation and differential game theory to develop a corresponding optimization game model. After that, we establish the optimum condition for the differential game problem and give an algorithm to obtain the optimal reinforcement strategies. Furthermore, we also discuss the convergence of the algorithm. Finally, a numerical example illustrates the effectiveness of the presented optimal schemes. Our proposed results provide a theoretical guide for both making warfare command decision and assessing military actions.

The Differential Game Analysis on the Construction Problem of the Public Libraries

2014 ◽  
Vol 687-691 ◽  
pp. 1662-1667
Author(s):  
Xue He ◽  
Shuang Liang Tian ◽  
Ping Chen ◽  
Wen Wen Tian
Keyword(s):  
Game Theory ◽  
Differential Game ◽  
Public Libraries ◽  
Social Utility ◽  
Game Model ◽  
Optimal Solutions ◽  
Game Analysis ◽  
Construction Problem ◽  
The Public ◽  
Differential Game Theory

Using the differential game theory, we studied the investment problem on public libraries, and established the Leader-follower differential game model, which is between the governments and the private enterprises (social organization). By building the Hamiltonian solving the Stackelberg balanced optimal solutions in the main two game players when they choose their strategies. By adjusting the strategy of government and social utility’s coefficient of dynamic to increase the comprehensive social utility of libraries.

Hybrid Method Based on Artificial Potential Field and Differential Game Theory for the UAV Path Planing

2014 ◽  
Vol 687-691 ◽  
pp. 260-264
Author(s):  
Feng Tian ◽  
Ji Feng Zou ◽  
Tong Zhang
Keyword(s):  
Game Theory ◽  
Differential Game ◽  
Potential Field ◽  
Artificial Potential Field ◽  
Complex Environment ◽  
Pursuit Evasion ◽  
Differential Game Theory ◽  
Evasion Game ◽  
Simulation Results ◽  
Dynamic Path

In this paper, a method of the UAV path planing in the complex environment by using artificial potential field and differential game theory is introduced. This article studies the pursuit evasion game of the dynamic path planing for the UAV. The fly zone of either the pursuer or the evader is divided into two categories, namely the obstacle areas and the obstacle-free areas. So we can use the artificial potential field in the obstacle areas,and we use differential game theory in the obstacle-free areas for the UAV. This method can apply to pursuit-evasion game in the complex environment for the UAV path planing.Not only the UAV can avoid obstacles but also they can find the best capture path.Finally,the simulation results verify its correctness and validity .

scholarly journals Evasion-Pursuit Strategy against Defended Aircraft Based on Differential Game Theory

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Qilong Sun ◽  
Minghui Shen ◽  
Xiaolong Gu ◽  
Kang Hou ◽  
Naiming Qi
Keyword(s):  
Game Theory ◽  
Differential Game ◽  
Optimal Strategies ◽  
Open Loop ◽  
Active Defense ◽  
Guidance Law ◽  
Optimal Guidance ◽  
Differential Game Theory ◽  
One To One ◽  
The One

The active defense scenario in which the attacker evades from the defender and pursues the target is investigated. In this scenario, the target evades from the attacker, and the defender intercepts the attacker by using the optimal strategies. The evasion and the pursuit boundaries are investigated for the attacker when the three players use the one-to-one optimal guidance laws, which are derived based on differential game theory. It is difficult for the attacker to accomplish the task by using the one-to-one optimal guidance law; thus, a new guidance law is derived. Unlike other papers, in this paper, the accelerations of the target and the defender are unknown to the attacker. The new strategy is derived by linearizing the model along the initial line of sight, and it is obtained based on the open-loop solution form as the closed-loop problem is hard to solve. The results of the guidance performance for the derived guidance law are presented by numerical simulations, and it shows that the attacker can evade the defender and intercept the target successfully by using the proposed strategy.

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