Title :
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
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;
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
DOI :
10.1109/ISCAS.1992.230418
