Title :
On the properties of frequency weighted balanced truncation techniques
Author_Institution :
Dept. of Electr. & Electron. Eng., Western Australia Univ., Nedlands, WA, Australia
Abstract :
In this paper, we show that when the input and output weights are co-inner and inner respectively, the three frequency weighted balanced truncation techniques: D.F. Enns technique (1984), Lin and Chiu´s technique, and G. Wang et al. technique (1999) are all equivalent to the unweighted balanced truncation technique.
Keywords :
matrix algebra; Enns technique; frequency weighted balanced truncation techniques; Australia Council; Controllability; Equations; Frequency; Matrix decomposition; Observability; Programmable control; Stability; Symmetric matrices; Transfer functions;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1023819
