CONTROLLABILITY OF DELAY SYSTEMS WITH RESTRAINED CONTROLS

被引:9
作者
CHUKWU, EN
机构
[1] Cleveland State University, Cleveland, Ohio
关键词
asymptotically proper systems; compact convex control sets; controllability of delay systems; delay systems; Euclidean controllability; Function space controllability; reachable sets;
D O I
10.1007/BF00937173
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
Using a geometric growth condition, we characterize both the function space and Euclidean controllability of a nonlinear delay system which has a compact and convex control set. This extends analogous results for ordinary differential systems, and it yields conditions under which perturbed nonlinear delay controllable systems are controllable. © 1979 Plenum Publishing Corporation.
引用
收藏
页码:301 / 320
页数:20
相关论文
共 16 条
[1]   INTEGRALS OF SET-VALUED FUNCTIONS [J].
AUMANN, RJ .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1965, 12 (01) :1-&
[2]  
BALAKRISHNAN AV, 1976, APPLIED FUNCTIONAL A
[3]   CHARACTERIZATION OF CONTROLLED STATES IN W1(2) OF LINEAR HEREDITARY SYSTEMS [J].
BANKS, HT ;
JACOBS, MQ ;
LANGENHOP, CE .
SIAM JOURNAL ON CONTROL, 1975, 13 (03) :611-649
[4]   THE RANGE OF CERTAIN VECTOR INTEGRALS [J].
BLACKWELL, D .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 2 (03) :390-395
[5]   Controllability of Nonlinear Systems with Restrained Controls [J].
Dauer, J. P. .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1974, 14 (03) :251-262
[6]   CONTROLLABILITY OF NONLINEAR DELAY SYSTEMS [J].
DAUER, JP ;
GAHL, RD .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1977, 21 (01) :59-70
[7]  
DAUER JP, 1972, J OPTIMIZATION THEOR, V11
[8]  
Dunford N., 1958, LINEAR OPERATORS 1
[9]  
FAN K, 1952, P NATIONAL ACADEMY S, V38
[10]  
Hale J.K., 1971, FUNCTIONAL DIFFERENT, VVolume 3