Relaxation of pursuit-evasion differential game and program absorption operator
| Autor: | A.G. Chentsov, D.M. Khachai |
|---|---|
| Jazyk: | ruština |
| Rok vydání: | 2020 |
| Předmět: |
Fluid Flow and Transfer Processes
PROGRAM ITERATIONS METHOD Operator (computer programming) General Computer Science Computer science General Mathematics PURSUIT-EVASION DIFFERENTIAL GAME Differential game Applied mathematics GUARANTEED RESULT Absorption (logic) Pursuit-evasion Relaxation (approximation) |
| Zdroj: | Vestnik Udmurtskogo Universiteta: Matematika, Mekhanika, Komp'yuternye Nauki |
| Popis: | We consider some natural relaxation of pursuit-evasion differential game. For two closed sets, which are parameters, similar guidance problem for ε-neighborhoods is being solved. We are interested in finding a minimal size of such neighborhoods, which allows player I successfully solve his guidance problem in the class of generalized non-anticipating strategies. To resolve above-mentioned differential game, a modification of Program Iterations Method is implemented. Size of the neighborhoods is found as a position function and it's defined by application of special iterative procedure further below. As a corollary, it is shown that desired function is a fixed point of the open-loop operator, which defines the procedure. © 2020 Udmurt State University. All rights reserved. Russian Foundation for Basic Research, RFBR: 19–01–000573 A. Funding. The study was funded by RFBR, project number 19–01–000573 A. |
| Databáze: | OpenAIRE |
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