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A minimal state map for strictly lossless positive real behaviors

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

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Please use this url to cite or link to this publication:

MLA
Rao, Shodhan. “A Minimal State Map for Strictly Lossless Positive Real Behaviors.” IEEE TRANSACTIONS ON AUTOMATIC CONTROL 57.7 (2012): 1696–1708. Print.
APA
Rao, Shodhan. (2012). A minimal state map for strictly lossless positive real behaviors. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 57(7), 1696–1708.
Chicago author-date
Rao, Shodhan. 2012. “A Minimal State Map for Strictly Lossless Positive Real Behaviors.” Ieee Transactions on Automatic Control 57 (7): 1696–1708.
Chicago author-date (all authors)
Rao, Shodhan. 2012. “A Minimal State Map for Strictly Lossless Positive Real Behaviors.” Ieee Transactions on Automatic Control 57 (7): 1696–1708.
Vancouver
1.
Rao S. A minimal state map for strictly lossless positive real behaviors. IEEE TRANSACTIONS ON AUTOMATIC CONTROL. 2012;57(7):1696–708.
IEEE
[1]
S. Rao, “A minimal state map for strictly lossless positive real behaviors,” IEEE TRANSACTIONS ON AUTOMATIC CONTROL, vol. 57, no. 7, pp. 1696–1708, 2012.
@article{6990117,
  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.},
  author       = {Rao, Shodhan},
  issn         = {0018-9286},
  journal      = {IEEE TRANSACTIONS ON AUTOMATIC CONTROL},
  keywords     = {lossless positive real transfer functions,Cauer synthesis,lossless electrical networks,behavioural systems theory,quadratic differential forms,image representation,SYSTEMS,SPACE},
  language     = {eng},
  number       = {7},
  pages        = {1696--1708},
  title        = {A minimal state map for strictly lossless positive real behaviors},
  url          = {http://dx.doi.org/10.1109/TAC.2011.2179369},
  volume       = {57},
  year         = {2012},
}

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