Multivalued Mappings and Their Selectors in Game Control Problems

Alexey A. Chikriy

doi:10.1615/JAutomatInfScien.v28.i5-6.50

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Home > Journals > Journal of Automation and Information Sciences > Volume 28, 1996 Issue 5-6 > Multivalued Mappings and Their Selectors in Game Control Problems

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ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v28.i5-6.50
pages 36-49

Multivalued Mappings and Their Selectors in Game Control Problems

Alexey A. Chikriy
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv

ABSTRACT

A pursuit method in the class of counter controls with switching that is based on the use of calibrating functions and their inverses is proposed. Guaranteed times for different schemes are compared. It is shown that this method yields, in particular, a complete substantiation of the parallel-pursuit rule which is well known in practice.

KEY WORDS: Decision function, program strategy, program control, countercontrol, active seg-ment, passive segment, Pontryagin's condition, Borel selector, conflict-controlled process