Interconnection of J-lossless behaviours


Rao, Shodhan (2010) Interconnection of J-lossless behaviours. Systems & Control Letters, 59 (6). pp. 323-332. ISSN 0167-6911

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Abstract:In this paper, motivated by the phenomenon of the interconnection of lossless electrical networks, a class of behaviours known as J-lossless behaviours is introduced, where J is a symmetric two-variable polynomial matrix. It is shown that for certain values of J, interconnection of J-lossless behaviours leads to an oscillatory behaviour. Physically this translates to the fact that interconnection of two multi-port lossless electrical networks results in an autonomous lossless electrical network. Finally, the problem of decomposition of an oscillatory behaviour with a given characteristic polynomial as an interconnection of two single-input–single-output behaviours, such that one has a lossless positive real transfer function and the other has a lossless negative real transfer function is also considered. This problem can be viewed as an inverse problem to the one of interconnection of J-lossless behaviours.
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Copyright:© 2010 Elsevier
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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