The strategy of coordinated pursuit for a first-order differential game with Gronwall-Bellman constraints
Автор: Doliyev O.B.
Журнал: Мировая наука @science-j
Рубрика: Основной раздел
Статья в выпуске: 9 (90), 2024 года.
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In this work, we will consider a simple pursuit differential game of the fitst order when Gronwall-Bellman constraints imposed on control functions of the players. The proposed method substantiates the parallel approach strategy in this line differential game of the fitst order. The new sufficient solvability conditions are obtained for problem of the pursuit.
Differential game, geometrical constraint, gronwall-bellman constraint, evader, pursuer, strategy, parallel pursuit
Короткий адрес: https://sciup.org/140306454
IDR: 140306454
Список литературы The strategy of coordinated pursuit for a first-order differential game with Gronwall-Bellman constraints
- Gronwall T.H. Note on the derivatives with respect to a parameter of the solutions of a system of differential equations. Ann. Math., 1919, 20(2): 293-296.
- Azamov A.A. About the quality problem for the games of simple pursuit with the restriction, Serdika. Bulgarian math. spisanie, 12, 1986, - P.38-43.
- Azamov A.A., Samatov B.T. П-Strategy. An Elementary introduction to the Theory of Differential Games. - T.: National Univ. of Uzb., 2000. - 32 p.
- Azamov A.A., Samatov B.T. The П-Strategy: Analogies and Appli-cations, The Fourth International Conference Game Theory and Management, June 28-30, 2010, St. Petersburg, Russia, Collected papers. - P.33-47.
- Azamov A., Kuchkarov A.Sh. Generalized 'Lion Man' Game of R. Rado, Contributions to game theori and management. Second International Conference "Game Theory and Management" - St.Petersburg, Graduate School of Manage-ment SPbU. - St.Petersburg, 2009. - Vol.11. - P. 8-20.
- Azamov A.A., Kuchkarov A.Sh., Samatov B.T. The Relation between Problems of Pursuit, Controllability and Stability in the Large in Linear Systems with Different Types of Constraints, J.Appl.Maths and Mechs. - Elsevier. - Netherlands, 2007. - Vol. 71. - N 2. - P. 229-233.
- Barton J.C, Elieser C.J. On pursuit curves, J. Austral. Mat. Soc. B. - London, 2000. - Vol. 41.- N 3. - P. 358-371.
- Borovko P., Rzymowsk W., Stachura A. Evasion from many pursuers in the simple case, J. Math. Anal. And Appl. - 1988. - Vol.135. - N 1. - P. 75-80.
- Chikrii A.A. Conflict-controlled processes, Boston-London-Dordrecht: Kluwer Academ. Publ., 1997, 424 p.
- Fleming W. H. The convergence problem for differential games, J. Math. Anal. Appl. - 1961. - N 3. - P. 102-116.
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