Existence of local solutions in constrained dynamic systems

被引:13
作者
Arutyunov, A. V. [1 ]
Zhukovskiy, S. E. [1 ]
机构
[1] Peoples Friendship Univ Russia, Moscow 117198, Russia
关键词
control systems; mixed constraints; local solvability; 2-regularity; covering mappings; EXTREMUM CONDITIONS; EQUALITY-TYPE;
D O I
10.1080/00036811003735873
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The control systems with mixed constraints are considered in this article. The sufficient conditions for local solvability of this type of control systems are studied. For the function that defines mixed constraints two types of assumptions are presented. When the function is smooth, the assumption of its 2-regularity in the control variable is considered. For the case when the function is not smooth it is assumed that it has covering properties with respect to the control variable.
引用
收藏
页码:889 / 898
页数:10
相关论文
共 15 条
[1]  
[Anonymous], HIGH ORDER OPEN MAPP
[2]  
[Anonymous], COMPUT MATH MATH PHY
[3]  
[Anonymous], 1975, B UNIONE MAT
[4]   Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications [J].
Arutyunov, A. V. ;
Avakov, E. R. ;
Izmailov, A. F. .
MATHEMATICAL PROGRAMMING, 2008, 114 (01) :37-68
[5]   Covering mappings in metric spaces and fixed points [J].
Arutyunov, A. V. .
DOKLADY MATHEMATICS, 2007, 76 (02) :665-668
[6]   Locally covering maps in metric spaces and coincidence points [J].
Arutyunov, Aram ;
Avakov, Evgeniy ;
Gel'man, Boris ;
Dmitruk, Andrei ;
Obukhovskii, Valeri .
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2009, 5 (01) :105-127
[7]   Covering of nonlinear maps on a cone in neighborhoods of irregular points [J].
Arutyunov, AV .
MATHEMATICAL NOTES, 2005, 77 (3-4) :447-460
[9]   EXTREMUM CONDITIONS FOR SMOOTH PROBLEMS WITH EQUALITY-TYPE CONSTRAINTS [J].
AVAKOV, ER .
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1985, 25 (03) :24-32
[10]   THEOREMS ON ESTIMATES IN THE NEIGHBORHOOD OF A SINGULAR POINT OF A MAPPING [J].
AVAKOV, ER .
MATHEMATICAL NOTES, 1990, 47 (5-6) :425-432