STRUCTURAL UNCONTROLLABILITY OF SENSITIVITY SYSTEMS

被引:8
作者
GUARDABA.G
LOCATELLI, A
RINALDI, S
机构
[1] The authors are with Istituto di Elettrotecnica ed Elettronica of Politecnico, Milan
关键词
D O I
10.1016/0005-1098(69)90072-7
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper represents a simple attempt in connecting two basic concepts in classical system theory: sensitivity and controllability. More precisely, the controllability of the system which generates the sensitivity coefficients of any fixed and finite order, a sensitivity system, of a given linear system is here considered. According to the assumptions made on the dependence of the given system upon a vector of parameters, three simple sufficient conditions for the uncontrollability of the sensitivity system are derived. Such conditions involve only the dimensions of the state, control, and parameters vectors of the given system, and they allow the following conclusion: the sensitivity system is always uncontrollable, provided that the number of the parameters be sufficiently large. This paper is essentially a revised version of Ref. [1] containing slightly more general results. © 1969.
引用
收藏
页码:297 / &
相关论文
共 5 条
[1]  
BERTELE U, 1968, TERMINAL CONDITIONS
[2]  
Guardabassi G., 1969, Journal of Optimization Theory and Applications, V3, P72, DOI 10.1007/BF00929542
[3]  
GUARDABASSI G, 1968, T IEEE AUT CONTROL, VAC13, P442
[4]  
GUARDABASSI G, 1968, 2 IFAC S SYST SENS A
[5]  
KALMAN RE, 1961, AUTOMAT REM CONTR, V1, P481