Interconnection structures in physical systems: a mathematical formulation

G. Golo; D.S. Gilliam; J. Rosenthal; O.V. Iftime; Arjan van der Schaft

Interconnection structures in physical systems: a mathematical formulation

G. Golo, D.S. Gilliam (Editor), J. Rosenthal (Editor), O.V. Iftime, Arjan van der Schaft

Research output: Contribution to conference › Paper › Academic › peer-review

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Abstract

The power-conserving structure of a physical system is known as interconnection structure. This paper presents a mathematical formulation of the interconnection structure in Hilbert spaces. Some properties of interconnection structures are pointed out and their three natural representations are treated. The developed theory is illustrated on two examples: electrical circuit and one-dimensional transmission line

Original language	Undefined
Number of pages	21
Publication status	Published - 2002
Event	15th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2002 - University of Notre Dame, Notre Dame, United States Duration: 12 Aug 2002 → 16 Aug 2002 Conference number: 15

Conference

Conference	15th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2002
Abbreviated title	MTNS 2002
Country/Territory	United States
City	Notre Dame
Period	12/08/02 → 16/08/02

Keywords

IR-69131
EWI-16729

Access to Document

http://www.nd.edu/~mtns/papers/12502.pdf

Cite this

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abstract = "The power-conserving structure of a physical system is known as interconnection structure. This paper presents a mathematical formulation of the interconnection structure in Hilbert spaces. Some properties of interconnection structures are pointed out and their three natural representations are treated. The developed theory is illustrated on two examples: electrical circuit and one-dimensional transmission line",

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Interconnection structures in physical systems: a mathematical formulation. / Golo, G.; Gilliam, D.S. (Editor); Rosenthal, J. (Editor); Iftime, O.V.; van der Schaft, Arjan.

2002. Paper presented at 15th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2002, Notre Dame, Indiana, United States.

Research output: Contribution to conference › Paper › Academic › peer-review

TY - CONF

T1 - Interconnection structures in physical systems: a mathematical formulation

AU - Golo, G.

AU - Iftime, O.V.

AU - van der Schaft, Arjan

A2 - Gilliam, D.S.

A2 - Rosenthal, J.

N1 - Conference code: 15

PY - 2002

Y1 - 2002

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AB - The power-conserving structure of a physical system is known as interconnection structure. This paper presents a mathematical formulation of the interconnection structure in Hilbert spaces. Some properties of interconnection structures are pointed out and their three natural representations are treated. The developed theory is illustrated on two examples: electrical circuit and one-dimensional transmission line

KW - IR-69131

KW - EWI-16729

M3 - Paper

Y2 - 12 August 2002 through 16 August 2002

ER -