Coincidence criteria of the maximal stable bridges in the approach problems

Ushakov, V.; Guseinov, Kh.; Latushkin, Ya.; Lebedev, P.

doi:10.1016/j.na.2010.05.021

Coincidence criteria of the maximal stable bridges in the approach problems

Ushakov V. N., Guseinov K. G., Latushkin Y. A., Lebedev P. D.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, vol.73, no.6, pp.1864-1877, 2010 (SCI-Expanded, Scopus)

Publication Type: Article / Article
Volume: 73 Issue: 6
Publication Date: 2010
Doi Number: 10.1016/j.na.2010.05.021
Journal Name: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.1864-1877
Keywords: Differential game, Approach problem, Stable bridge, Differential inclusion, LINEAR DIFFERENTIAL GAMES, APPROXIMATE CONSTRUCTION
Anadolu University Affiliated: Yes

Abstract

Two person antagonistic differential games with dynamics described by nonlinear ordinary differential equations are considered. For a given compact target set M subset of R-n the problem of approach at a given time instant theta and the problem of approach to a given time instant theta are studied. For these problems, the coincidence criteria of maximal u-stable bridges are obtained. (C) 2010 Elsevier Ltd. All rights reserved.