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Method of construction of the evasion strategy for differential games with many pursuers

100%

Rzymowski W.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Introduction...........................................................................5 1. Preliminaries.....................................................................6 1.1. Notation........................................................................6 1.2. Control systems. Strategies..........................................7 2. Main lemma......................................................................9 3. Avoidance of many pursuers..........................................14 3.1. First step....................................................................16 3.2. Continuation...............................................................22 4. Evasion along each trajectory........................................27 4.1. Some general criteria.................................................30 4.2. Some special examples..............................................33 4.2.1. The homicidal Chauffeur game..............................34 4.2.2. The game of 1+n cars............................................36 5. Differential games of many evaders and pursuers.........37 5.1. General example........................................................37 5.2. A squadron of ships amidst iceberges........................38 6. On evasion games with incomplete information..............39 7. Final remarks.................................................................41 References........................................................................42

Existence of the value of fixed duration dynamical games

65%

Borówko P., Rzymowski W.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS 1. Introduction.......................................................................................................5 2. Game................................................................................................................6 3. Approximation condition....................................................................................8 4. Differential games of Friedman's type.............................................................13 4.1. Game without delay....................................................................................13 4.2. Game with delay.........................................................................................19 5. Varaiya's differential game with dynamical system..........................................21 5.1. Game with constraints of controls..............................................................22 5.2. Game with control by trajectories...............................................................24 nbsp;5.2.1. Approximation condition...............................................................25 nbsp;5.2.2. Alternative way.............................................................................26 6. Krasovskii's differential game with dynamical system......................................27 6.1. Correlations between the games G(X,Y,μ) and $G_k(X,Y,φ)$....................29 6.2. Sufficient condition ....................................................................................31 References.........................................................................................................36

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2 Rzymowski W.

1 Borówko P.

2 1986

Wyniki wyszukiwania

Method of construction of the evasion strategy for differential games with many pursuers

Existence of the value of fixed duration dynamical games