A Minimal State Map for Strictly Lossless Positive Real Behaviors

Author

Rao, Shodhan

Author_Institution

Center for Syst. Biol., Univ. of Groningen, Groningen, Netherlands

Volume

57

Issue

7

fYear

2012

fDate

7/1/2012 12:00:00 AM

Firstpage

1696

Lastpage

1708

Abstract

In this paper, behaviors with equal input and output cardinalities and with lossless positive real transfer functions corresponding to certain input-output partitions are considered. Based on Cauer synthesis method, an algorithm to obtain a minimal state map of such behaviors starting from an observable image representation is given. This algorithm makes use of polynomial algebraic methods to arrive at a minimal state map. It is shown that the algorithm has application in synthesis and analysis of lossless electrical networks.

Keywords

circuit analysis computing; image representation; network analysis; network synthesis; polynomials; transfer functions; Cauer synthesis method; input cardinality; input-output partition; lossless electrical network analysis; lossless electrical network synthesis; lossless positive real transfer function; minimal state map; observable image representation; output cardinality; polynomial algebraic method; strictly lossless positive real behavior; Algorithm design and analysis; Image representation; Polynomials; Trajectory; Transfer functions; Vectors; Behavioral systems theory; Cauer synthesis; image representation; lossless electrical networks; lossless positive real transfer functions; quadratic differential forms;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2011.2179369

Filename

6099566