THE EXPONENTIAL REPRESENTATION OF FLOWS AND THE CHRONOLOGICAL-CALCULUS

被引：58
作者：
AGRACEV, AA
GAMKRELIDZE, RV
机构：
来源：
MATHEMATICS OF THE USSR-SBORNIK | 1979年 / 35卷 / 06期
关键词：
D O I：
10.1070/SM1979v035n06ABEH001623
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article is developed a calculus which reflects the most general group-theoretic properties of flows and which is based on an exponential representation of flows defined by nonstationary differential equations. Problems of optimization and control have had the greatest influence on the development of this calculus, and the results are intended mainly to treat these problems. Bibliography: 11 titles. © 1979 IOP Publishing Ltd.
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页码：727 / 785
页数：59
相关论文
共 12 条
[1]  
Agrachev A.A., 1977, MAT SBORNIK, V102, P551
[2]  
Agrachev A. A., 1976, MAT SBORNIK, V100, P610
[3]  
ARNOLD VI, 1974, MATH METHODS CLASSIC
[4]  
GABASOV R, 1971, QUALITATIVE THEORY O
[5]  
GAMKRELIDZE RV, 1979, LECT NOTES MATH, V703, P118
[6]  
Godbillon C., 1969, GEOMETRIE DIFFERENTI
[7]   LOCAL CONTROLLABILITY AND SUFFICIENT CONDITIONS IN SINGULAR PROBLEMS .2. [J].
HERMES, H .
SIAM JOURNAL ON CONTROL, 1976, 14 (06) :1049-1062
[8]   LOCAL CONTROLLABILITY AND SUFFICIENT CONDITIONS IN SINGULAR PROBLEMS [J].
HERMES, H .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1976, 20 (01) :213-232
[9]  
KARASEV MV, 1976, TEOR MAT FIZ, V28, P189
[10]  
Kelley H. J., 1967, TOPICS OPTIMIZATION, P63
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