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

被引：0
作者：
Lukoyanov, NY
机构：
来源：
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 2001年 / 65卷 / 03期
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Using the concept of derivatives in multivalued directions, differential inequalities are presented which express in infinitesimal form the defining stability properties of the value function of a differential game with hereditary information [1-7]. As a corollary, stability criteria are obtained for piecewise ci-smooth functionals [7, 8] and for envelopes of a family of ci-smooth functionals. (C) 2001 Elsevier Science Ltd. All rights reserved.
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页码：361 / 370
页数：10
相关论文
共 15 条
[1]  
[Anonymous], OPTIMALNOYE UPRAVLEN
[2]  
[Anonymous], 1985, DIFFERENTIAL EQUATIO
[3]  
CLARKE FH, 1998, NONSMOOTH INEQUALITI
[4]  
Guseinov H. G., 1985, Problems of Control and Information Theory, V14, P155
[5]  
KIM AV, 1996, SMOOTH ANAL FUNCTION
[6]  
KRASOVSKII AN, 1995, CONTROL LACK INFORMA
[7]  
Krasovskii N. N., 1974, POSITIONAL DIFFERENT
[8]  
KRASOVSKII NN, 1996, PRIKL MAT MEKH, V60, P885
[9]  
KRYAZHIMSKII AV, 1973, PRIKL MAT MEKH, V37, P3
[10]  
KURZHANSKII AB, 1970, URAVENIYA, V6, P1800
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