ASYMPTOTIC PROPERTIES OF MINIMAX SOLUTIONS OF ISAACS-BELLMAN EQUATIONS IN DIFFERENTIAL-GAMES WITH FAST AND SLOW MOTIONS

Authors
SUBBOTINA NN
Citation
Nn. Subbotina, ASYMPTOTIC PROPERTIES OF MINIMAX SOLUTIONS OF ISAACS-BELLMAN EQUATIONS IN DIFFERENTIAL-GAMES WITH FAST AND SLOW MOTIONS, Journal of applied mathematics and mechanics, 60(6), 1996, pp. 883-890
Citations number
14
Categorie Soggetti
Mathematics,Mathematics,Mechanics
Journal title
Journal of applied mathematics and mechanics → ACNP
ISSN journal
00218928
Volume
60
Issue
6
Year of publication
1996
Pages
883 - 890
Database
ISI
SICI code
0021-8928(1996)60:6<883:APOMSO>2.0.ZU;2-V
Abstract
Sufficient conditions under which the solutions of the Cauchy problem for singularly-perturbed Hamilton-Jacobi equations will converge to a limit are established. The results are used to investigate the asympto tic behaviour of the value function of a differential game involving f ast and slow motions. (C) 1997 Elsevier Science Ltd.