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Evasion on plane from a single mobile observer in the conflict environment

  • Robust and Adaptive Systems
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Abstract

Consideration was given to the problem of evasion of a mobile object from the moving observer in a conflict environment. A law of control of the mobile object speed was established. The optimal motion trajectory was constructed, and the time dependence of the accumulated signal was compared for other laws of control.

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References

  1. Zabarankin, M., Uryasev, S., and Pardalos, P., Optimal Risk Path Algorithms, in Cooperative Control and Optimization, Ch. 1, Murphey, R. and Pardalos, P., Eds., Dordrecht: Kluwer, 2002, vol. 66, pp. 271–303.

    Google Scholar 

  2. Galyaev, A.A., Maslov, E.P., and Rubinovich, E.Ya., On one Problem of Control of an Object Moving in the Conflict Environment, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2009, no. 3, pp. 130–136.

    Google Scholar 

  3. Galyaev, A.A. and Maslov, E.P., Optimization of the Laws of Mobile Object Evasion from Detection, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2010, no. 4, pp. 52–62.

    Google Scholar 

  4. Galyaev, A.A. and Maslov, E.P., Optimization of the Law of Moving Object Evasion from Detection under Constraints, Autom. Remote Control, 2013, vol. 74, no. 7, pp. 1178–1190.

    Article  Google Scholar 

  5. Sysoev, L.P., Criterion for the Probability of Detection on the Trajectory in the Problem of Object Motion Control in the Conflict Environment, Probl. Upravlen., 2010, no. 5, pp. 73–79.

    Google Scholar 

  6. Abramyants, T.G., Maslov, E.P., Rud’ko, I.M., and Yakhno, V.P., Evasion of a Mobile Object from Detection by a Group of Observers under Small Signal/Noise Ratios, Inform.-Upravlyayushchie Sist., 2011, no. 2, pp. 2–7.

    Google Scholar 

  7. Dobrovidov, A.V., Kulida, E.L., and Rud’ko, I.M., Control of Object Motion in the Conflict Environment, Probl. Upravlen., 2011, no. 3, pp. 64–75.

    Google Scholar 

  8. Yakushenko, E.I., Gur’ev, Yu.V., Tkachenko, I.V., et al., On-board System to Control Secrecy of Underwater Sea Objects with Operative-Autominder System, Vestn. Komp. Inform. Tekhnol., 2012, no. 10, pp. 9–16.

    Google Scholar 

  9. Reif, J. and Sharir, M., Motion Planning in a Presence of Moving Obstacles, J. MCA, 1994, no. 41(4), pp. 764–790.

    Google Scholar 

  10. Fiorini, P. and Shiller, Z., Motion Planning in Dynamic Environments Using Velocity Obstacles, Int. J. Rob. Res., 1998, no. 17(7), pp. 760–772.

    Google Scholar 

  11. Olver, P.J., Applications of Lie Groups to Differential Equations, New York: Springer. Translated under the title Prilozhenie grupp Li k differentsial’nym uravneniyam, Moscow: Mir, 1989.

    MATH  Google Scholar 

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Correspondence to A. A. Galyaev.

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Original Russian Text © A.A. Galyaev, 2014, published in Avtomatika i Telemekhanika, 2014, No. 6, pp. 39–48.

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Galyaev, A.A. Evasion on plane from a single mobile observer in the conflict environment. Autom Remote Control 75, 1017–1024 (2014). https://doi.org/10.1134/S0005117914060034

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  • DOI: https://doi.org/10.1134/S0005117914060034

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