DocumentCode :
1190684
Title :
On a fundamental property of the cross- Gramian matrix
Author :
Fernando, K.V. ; Nicholson, H.
Volume :
31
Issue :
5
fYear :
1984
fDate :
5/1/1984 12:00:00 AM
Firstpage :
504
Lastpage :
505
Abstract :
The cross-Gramian matrix 
for linear single-input single-output (SISO) dynamical systems has been related to the controllability and observability Gramians via 
for 
. The result is now proved for any arbitrary time interval 
, and is extended to symmetric multivariable systems which have symmetric transfer function matrices.
for linear single-input single-output (SISO) dynamical systems has been related to the controllability and observability Gramians via for . The result is now proved for any arbitrary time interval , and is extended to symmetric multivariable systems which have symmetric transfer function matrices.Keywords :
Linear systems; Matrices; Algorithm design and analysis; Approximation algorithms; Controllability; Convergence; Digital filters; Finite impulse response filter; Interpolation; Observability; Symmetric matrices; Transfer functions;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1984.1085524
Filename :
1085524
Link To Document :
