Uncertain pursuit-evasion game

  • Yanghe Feng
  • Lanruo Dai
  • Jinwu GaoEmail author
  • Guangquan Cheng


Pursuit-evasion game deals with the situation in which a pursuer tries to catch an evader. Taking into account the subjectivity of the players’ strategies and the fact that the noise of system state does not obey the statistical regularity, this paper employs an uncertain differential equation to describe the dynamics of the pursuit-evasion system, and introduces an uncertain pursuit-evasion game. Within the framework of uncertain differential game theory, a solution for the uncertain pursuit-evasion game is derived via the corresponding Riccati equation. At last, as an application, a target interception problem is proposed.


Uncertain differential equation Differential game Pursuit-evasion game Riccati equation Target interception problem 



This work was supported by National Natural Science Foundation of China (Grant Nos. 71701205, 71701206 & 61374082).

Compliance with ethical standards

Conflict of interest

The authors declare that there is no conflict of interest regarding the publication of this paper.

Ethical approval

This article does not contain any studies with human participants performed by any of the authors.


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of Systems EngineeringNational University of Defense TechnologyChangshaChina
  2. 2.Uncertain Systems Lab, School of MathematicsRenmin University of ChinaBeijingChina

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