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

fYear

2009

fDate

18-21 Aug. 2009

Firstpage

1514

Lastpage

1517

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;

fLanguage

English

Publisher

ieee

Conference_Titel

ICCAS-SICE, 2009

Conference_Location

Fukuoka

Print_ISBN

978-4-907764-34-0

Electronic_ISBN

978-4-907764-33-3

Type

conf

Filename

5335363