DocumentCode
790798
Title
lnvariant hyperplanes for linear dynamical systems
Author
Johnson, C.D.
Author_Institution
Univ. of Alabama, Huntsville, AL, USA
Volume
11
Issue
1
fYear
1966
fDate
1/1/1966 12:00:00 AM
Firstpage
113
Lastpage
116
Abstract
In certain problems associated with the control of linear dynamical systems, the concept of invariant hyperplanes in the system state space plays an important role [1]-[8]. This short paper gives conditions for the existence of invariant hyperplanes for linear dynamical systems and describes some geometric properties of these hyperplanes. In addition, some relationships between invariant hyperplanes and the concepts of controllability and observability are discussed.
Keywords
Linear systems, time-invariant continuous-time; Automatic control; Control systems; Controllability; Differential equations; Eigenvalues and eigenfunctions; Electrical equipment industry; Kalman filters; MIMO; Stability; State-space methods;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1966.1098262
Filename
1098262
Link To Document