REMARKS ON CONTROLLABILITY OF IMPLICIT LINEAR DISCRETE-TIME-SYSTEMS

被引:11
作者
BANASZUK, A
KOCIECKI, M
PRZYLUSKI, KM
机构
[1] WARSAW UNIV TECHNOLOGY,INST CONTROL & IND ELECTR,PL-00662 WARSAW,POLAND
[2] POLISH ACAD SCI,INST MATH,PL-00950 WARSZAWA,POLAND
关键词
CONTROL SYSTEMS; LINEAR - Controllability - MATHEMATICAL TECHNIQUES - Difference Equations;
D O I
10.1016/0167-6911(88)90042-4
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Some results concerning controllability of implicit linear discrete-time system of the form Ex//k// plus //1 equals Fx//k plus Gu//k are given. It is not assumed that the corresponding pencil left bracket sE-F right bracket is regular. The concept of (X//I, X//F)-controllability is defined, and it is shown that it generalizes various definitions of controllability used in the existing literature of the subject. Computable geometric conditions for an implicit system to be (X//I, X//F)-controllable are given. Some particular cases are discussed. The existence of a universal time of controllability is also proven.
引用
收藏
页码:67 / 70
页数:4
相关论文
共 20 条
[1]   MINIMAL REPRESENTATIONS OF IMPLICIT LINEAR-SYSTEMS [J].
APLEVICH, JD .
AUTOMATICA, 1985, 21 (03) :259-269
[2]   THE PENCIL (SE-A) AND CONTROLLABILITY-OBSERVABILITY FOR GENERALIZED LINEAR-SYSTEMS - A GEOMETRIC APPROACH [J].
ARMENTANO, VA .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (04) :616-638
[3]  
BANASZUK A, UNPUB IMPLICIT LINEA
[4]  
BART H, 1973, MATH CTR TRACTS, V44
[5]  
BART H, 1973, THESIS FREE U AMSTER
[6]  
BENDER DJ, UNPUB GENERALIZED OU
[7]   ON SINGULAR IMPLICIT LINEAR DYNAMICAL SYSTEM [J].
BERNHARD, P .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1982, 20 (05) :612-633
[8]  
Campbell, 1980, SINGULAR SYSTEMS DIF, V1
[9]  
Campbell S. L., 1982, SINGULAR SYSTEMS DIF
[10]   CONTROLLABILITY, OBSERVABILITY, AND DUALITY IN SINGULAR SYSTEMS [J].
COBB, D .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1984, 29 (12) :1076-1082