On the properties of the realization matrix

Author

Maskarinec, Gregory J. ; Chitrapu, Prabhakar R.

Author_Institution

Dept. of Electr. & Comput. Eng., Drexel Univ., Philadelphia, PA, USA

Volume

4

fYear

1992

fDate

3-6 May 1992

Firstpage

1745

Abstract

The realization matrix R=[A b; c d] defined by a discrete-time, scalar state variable model of a linear system is examined. Several properties concerning the eigenvalues and singular values of R are derived and used to obtain new tests for the minimality of the state variable model and to derive an inequality between the spectral norm of R and the L_∞ norm of the transfer function frequency response. The singular values and bounds for the norms and condition numbers of principal axis realization matrices are also derived

Keywords

discrete time systems; eigenvalues and eigenfunctions; linear systems; matrix algebra; bounds; condition numbers; discrete-time systems; eigenvalues; linear system; minimality; norms; principal axis realization matrices; realization matrix; scalar state variable model; singular values; spectral norm; state variable model; transfer function frequency response; Eigenvalues and eigenfunctions; Filtering; Filters; Frequency response; Linear matrix inequalities; Linear systems; Numerical analysis; Qualifications; Testing; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1992. ISCAS '92. Proceedings., 1992 IEEE International Symposium on

Conference_Location

San Diego, CA

Print_ISBN

0-7803-0593-0

Type

conf

DOI

10.1109/ISCAS.1992.230418

Filename

230418