A Minimal State Map for Strictly Lossless Positive Real Behaviors

Rao, S., Jul-2012, In : IEEE Transactions on Automatic Control. 57, 7, p. 1696-1708 13 p.

Research output: Contribution to journalArticleAcademicpeer-review

  • Shodhan Rao

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.

Original languageEnglish
Pages (from-to)1696-1708
Number of pages13
JournalIEEE Transactions on Automatic Control
Issue number7
Publication statusPublished - Jul-2012


  • Behavioral systems theory, Cauer synthesis, image representation, lossless electrical networks, lossless positive real transfer functions, quadratic differential forms, SYSTEMS, SPACE

ID: 5600953