Positive realization of discrete-time systems by geometric approach

Author

Kitano, Toyokazu ; Maeda, Hajime

Author_Institution

Dept. of Commun. Eng., Osaka Univ., Japan

Volume

45

Issue

3

fYear

1998

fDate

3/1/1998 12:00:00 AM

Firstpage

308

Lastpage

311

Abstract

The positive realization problem treated in this paper is that of finding a linear state realization from the given transfer function, such that all the coefficients of the realization are nonnegative. The specific problems treated here are realizability conditions and the way of getting positive realizations. These problems are discussed in detail through convex cone analysis and downsampling technique. It is shown that the problem of positive realizability is reduced to a set of the problems of positive realizability corresponding to the downsampled impulse responses

Keywords

discrete time systems; linear systems; state-space methods; transfer functions; convex cone analysis; discrete-time systems; downsampled impulse responses; downsampling technique; geometric approach; linear state realization; nonnegative coefficients; positive realization problem; realizability conditions; transfer function; Chemicals; Circuits; Digital filters; H infinity control; Hidden Markov models; Linear systems; Stochastic processes; Transfer functions;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.662719

Filename

662719