Game-theoretic principles of the control optimization in multiposition complex measurement-and-search systems

Authors

  • A. A. Strotsev Rostov-on-Don Military Institute of the Rocket Troops, Russian Federation

DOI:

https://doi.org/10.3103/S0735272704100048

Abstract

The paper considers a situation of conflict between a multiposition complex measurement-and- search system and dynamic objects. Analysis of this situation permits the formulation of the principles of game-theoretic optimization of control of such multiposition complex measurement-and-search system. An example is given illustrating the generation of a model of game situation as a mixed extension of a matrix game of non-classical type.

References

CHERNYAK, V.S. Multiposition Radiolocation [in Russian]. Moscow: Radio i Svyaz’, 1993.

VOROB’YOV, N.N. The Game Theory for Cybernetic Economists [in Russian]. Moscow: Nauka, 1985.

VILKAS, E.Y. Optimality in Games and Decisions [in Russian]. Moscow: Nauka, 1990.

MALYSHEV, V.V.; KRASIL’SHCHIKOV, V.I.; KARLOV, V.I. Optimization of Observation and Control of Flying Vehicles [in Russian]. Moscow: Mashinostroyeniye, 1989.

KOLMANOVSKII, V.B.; CHERNOUS’KO, F.L. "Optimizatciia pomekh pri nabliudenii za dinamicheskoi sistemoi," Izv. AN SSSR, Tekhnicheskaya Kibernetika, n.2, p.170-177, 1972.

CHERNOUS’KO, F.L.; KOLMANOVSKII, V.B. Optimal Control at Random Perturbations [in Russian]. Moscow: Nauka, 1980.

MUSCHICK, E.; MULLER, P.H. Entscheidungspraxis [in German]. Berlin: VEB Verlag Technik, 1987.

STROTSEV, A.A. "Maximum criterion of a posteriori probability of target detection to given time," Radioelectron. Commun. Syst., v.45, n.10, p.34-41, 2002.

KHUTORTSEV, V.V.; STROTSEV, A.A. "Invariantno-gruppovoi podhod k sintezu optimalnykh zakonov upravleniia nabliudeniiami v mnogokanalnykh izmeritelnykh sistemakh," Radiotekhnika, n.4, p.13-19, 1993.

STROTSEV, A.A. "Postroenie smeshannogo rasshireniia matrichnoi igry 'neclassicheskogo' tipa," Izv. RAN. Teoriya i Sistemy Upravleniya, n.3, p.119-124, 1998.

STROTSEV, A.A. "Modifitcirovannyi metod Browna resheniia smeshannogo rasshireniia matrichnoi igry 'neclassicheskogo' tipa," Ekonomika i Matematicheskiye Metody, n.2, p.106-110, 2001.

Published

2004-10-04