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ON EVASION PROBLEM FOR THE CASE WHICH IMPOSED GEOMETRICAL–GRONWALL CONSTRAINT

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Scientific Bulletin of Namangan State University

Scientific Bulletin of Namangan State University

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ARTICLE ANNOTATION

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he main aim of this work is to present some natural applications of Gronwall type inequalities in the Differential Games. We study the evasion problem for differential game of the first order when geometrical constraint imposed on control function of pursuer and Gronwall type constraint imposed on control function of evader. The Gronwall type constraint generalizes geometrical constraint. To solve the evasion problem, we suggest a particular strategy for evader and study its structure depending on the parameters. Here the new sufficient solvability conditions for solution of evasion problem will be proposed.

AUTHORS

B.Samatov

NamDU.

B.Juraev

NamDU.

Tags

# стратегия.# Differential game# evader# pursuer# Differensial o‘yin# qochuvchi# quvlovchi# преследователь# убегающий# геометрическое ограничение# qochish# убегания# evasion# Gronwall’s inequality# geometrical constraint# strategy. .# Gronuoll tengsizligi# geometrik chegaralanish# strategiya. .# Дифференциальные игры# неравенство Гронуолла

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Article Identifiers

ROI:

https://eroi.uz/11.0031/A0722-0002

DOI:

Not Available

References

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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.