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Multi-pursuer single-evader privacy-preserving differential games

Author

Listed:
  • Zhou, Yinglu
  • Li, Yinya
  • Sheng, Andong
  • Qi, Guoqing

Abstract

This paper investigates a multi-pursuer single-evader (MPSE) differential game with privacy-preserving over time-varying unbalanced directed network topologies. A novel player decomposition mechanism for the MPSE differential game with privacy-preserving is proposed. Distributed control strategies under this mechanism are then designed based on the Hamilton–Jacobi–Isaacs (HJI) and the Nash equilibrium of these strategies is proved. The interception condition related to a proposed novel coupling gain and reconstructed symmetric Laplacian matrix based on the weight balancing method is derived to guarantee that multiple pursuers successfully intercept the evader over time-varying unbalanced directed network topologies. Privacy-preserving is also verified to ensure that the state of any pursuer is not disclosed. Especially, the privacy-preserving algorithm is proved to be applicable to the continuous-time system, which is different from most existing studies whose research system is the discrete-time case. Illustrative examples are given to demonstrate that all pursuers can intercept the evader and that the private information they carry can be preserved.

Suggested Citation

  • Zhou, Yinglu & Li, Yinya & Sheng, Andong & Qi, Guoqing, 2026. "Multi-pursuer single-evader privacy-preserving differential games," Applied Mathematics and Computation, Elsevier, vol. 508(C).
    • Handle: RePEc:eee:apmaco:v:508:y:2026:i:c:s0096300325003388
    DOI: 10.1016/j.amc.2025.129612
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    References listed on IDEAS

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    1. A. J. T. M. Weeren & J. M. Schumacher & J. C. Engwerda, 1999. "Asymptotic Analysis of Linear Feedback Nash Equilibria in Nonzero-Sum Linear-Quadratic Differential Games," Journal of Optimization Theory and Applications, Springer, vol. 101(3), pages 693-722, June.
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