Title :
Essential frequency domain properties of positive real matrices
Author :
Hakimi-M, Mojtaba ; Khaloozadeh, Hamid
Author_Institution :
Dept. of Electr. Eng., K. N. Toosi Univ. of Technol., Tehran, Iran
Abstract :
Despite importance of positive realness in the control theory, properties of PR matrices are not discussed in the correlated literature in detail. In this paper some basic frequency domain properties of PR matrices are demonstrated by using concepts of network synthesis theory and complex variable analysis. These properties consist of positive realness of diagonal elements, relative degree constrains on the diagonal and off-diagonal elements, transmission zeros constrain and finally high frequency constrains.
Keywords :
MIMO systems; continuous time systems; frequency-domain analysis; linear systems; matrix algebra; network synthesis; stability; LTI system; MIMO system; complex variable analysis; control theory; diagonal element; frequency domain property; high frequency constrains; network synthesis theory; off-diagonal element; positive real matrix; relative degree constrains; stability; transmission zero; Admittance; Control systems; Control theory; Filtering theory; Frequency domain analysis; Impedance; Network synthesis; Poles and zeros; Stability; Transfer functions; Necessary Frequency Domain Conditions; Positive Real (PR) and Strictly Positive Real (SPR) Matrices;
Conference_Titel :
ICCAS-SICE, 2009
Conference_Location :
Fukuoka
Print_ISBN :
978-4-907764-34-0
Electronic_ISBN :
978-4-907764-33-3
