On some properties of N-D discrete-time BR systems and time-delay BR systems

Author

Matsumoto, Naoki

Author_Institution

Dept. of Electron. and Commun., Melji Univ., Kawasaki, Japan

Volume

42

Issue

4

fYear

1995

fDate

4/1/1995 12:00:00 AM

Firstpage

291

Lastpage

295

Abstract

Based on N-D state equations, we present sufficient condition for N-D discrete-time systems to be structurally stable bounded real (BR) and its circuits theoretical interpretations. N-D discrete-time systems satisfying this condition can be embedded into a certain augmented lossless bounded real (LBR) system and energy balanced realization is possible. These results can be extended straightforward to time-delay systems which are BR independent of delay. But in the case BR property is dependent on delay, such extension is impossible

Keywords

control system synthesis; delays; discrete time systems; matrix algebra; multidimensional digital filters; multidimensional systems; network synthesis; N-D discrete-time BR systems; augmented lossless bounded real system; energy balanced realization; multidimensional state equations; structurally stable bounded real systems; time-delay BR systems; Computer errors; Control systems; Delay; Digital filters; Finite impulse response filter; Nonlinear filters; Process design; Signal processing; Signal processing algorithms; Speech processing;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.378045

Filename

378045