Title :
The quotient SVD and directional aspects of 2 transfer matrices
Author :
David, Johan ; De Moor, Bart
Author_Institution :
Dept. of Electr. Eng., Katholieke Univ. Leuven, Belgium
Abstract :
Directional aspects of multiple-input-multiple-output systems relative to one another are studied. The quotient singular value decomposition (QSVD), a generalization of the SVD is used. The definition and some properties of the QSVD are stated. The concepts of the indicator ellipsoid and the oriented energy plot allow for a better visualization of the directional gain. The oriented signal-to-signal ratio, is introduced. It is shown that it can be computed by using the QSVD. Some applications in control are outlined.<>
Keywords :
control theory; matrix algebra; numerical analysis; control; directional gain; indicator ellipsoid; multiple-input-multiple-output systems; oriented energy plot; oriented signal-to-signal ratio; quotient singular value decomposition; transfer matrices; Ellipsoids; Frequency; MIMO; Matrix decomposition; Singular value decomposition; Visualization;
Conference_Titel :
CompEuro '92 . 'Computer Systems and Software Engineering',Proceedings.
Conference_Location :
The Hague, Netherlands
Print_ISBN :
0-8186-2760-3
DOI :
10.1109/CMPEUR.1992.218414
