Matrix Resolving Functions in Dynamic Games of Approach

Autor:	A. O. Chikrii, G. Ts. Chikrii
Rok vydání:	2014
Předmět:	Set (abstract data type) Matrix (mathematics) Mathematical optimization General Computer Science Sequential game Control theory Simple (abstract algebra) Trajectory Pursuer Function (mathematics) Eigenvalues and eigenvectors Mathematics
Zdroj:	Cybernetics and Systems Analysis. 50:201-217
ISSN:	1573-8337 1060-0396
DOI:	10.1007/s10559-014-9607-7
Popis:	The concept of matrix resolving function is introduced to study dynamic game problems. The sufficient conditions are derived ensuring the possibility for the pursuer to bring the trajectory of a conflict-controlled process to the terminal set. The cases of using quasi-strategies and counter-controls by the pursuer are analyzed separately. Guaranteed times of the game termination for different method's schemes are compared. The theoretical results are illustrated with a model example of "simple motions" on a plane.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::cc703e54d65ba8184592838957fa3fc5 https://doi.org/10.1007/s10559-014-9607-7 Zobrazit plný text záznamu Full text from SpringerLink