The properties of the value functional of a differential game with hereditary information

Authors
Lukoyanov, NY
Citation
Ny. Lukoyanov, The properties of the value functional of a differential game with hereditary information, J APPL MA R, 65(3), 2001, pp. 361-370
Citations number
15
Categorie Soggetti
Mechanical Engineering
Journal title
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS
ISSN journal
00218928 → ACNP
Volume
65
Issue
3
Year of publication
2001
Pages
361 - 370
Database
ISI
SICI code
0021-8928(2001)65:3<361:TPOTVF>2.0.ZU;2-2
Abstract
Using the concept of derivatives in multivalued directions, differential in equalities are presented which express in infinitesimal form the defining s tability properties of the value function of a differential game with hered itary information [1-7]. As a corollary, stability criteria are obtained fo r piecewise ci-smooth functionals [7, 8] and for envelopes of a family of c i-smooth functionals. (C) 2001 Elsevier Science Ltd. All rights reserved.