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Some applications of an Implicit Duality Theorem to connections of structures of special types including Dirac and reciprocal structures

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Title Some applications of an Implicit Duality Theorem to connections of structures of special types including Dirac and reciprocal structures
 
Creator NARAYANAN, H
 
Description In this paper, we present some applications of an Implicit Duality Theorem which was originally a folklore result on Ideal Transformers in Electrical Network Theory. We show, among other things, that results on reciprocal networks (due to Tellegen (Proc. Inst. Radio Engrs. 14 (1953) 265), and Dirac Structures (due to van der Schaft (in: J.W. Polderman, H.L. Trentelman (Eds.), From Intelligent Control to Behavioural Systems. University of Groningen Press) follow as a consequence. These results have the form 'interconnection of structures of a particular kind yields a structure of the same kind'. Also discussed is the question 'given smaller structures of a given kind and a desired structure of the same kind, can the former be interconnected to yield the latter?'. We also indicate the range of possible generalizations of this result. (C) 2002 .
 
Publisher ELSEVIER SCIENCE BV
 
Date 2011-07-26T18:10:10Z
2011-12-26T12:55:31Z
2011-12-27T05:40:52Z
2011-07-26T18:10:10Z
2011-12-26T12:55:31Z
2011-12-27T05:40:52Z
2002
 
Type Article
 
Identifier SYSTEMS & CONTROL LETTERS, 45(2), 87-95
0167-6911
http://dx.doi.org/10.1016/S0167-6911(01)00167-0
http://dspace.library.iitb.ac.in/xmlui/handle/10054/6986
http://hdl.handle.net/10054/6986
 
Language en