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A parametrisation for dissipative behaviours-the matrix case

DSpace at IIT Bombay

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Title A parametrisation for dissipative behaviours-the matrix case
 
Creator PENDHARKAR, I
PILLAI, HK
 
Subject quadratic differential forms
preserving model-reduction
j-spectral factorization
dynamical-systems
distributed systems
passivity
interpolation
stability
dissipative systems
dissipative behaviours
polynomial matrices
 
Description We study linear, time-invariant dynamical systems that are dissipative with respect to a generalised power defined by a quadratic differential form. We address several cases, in an increasing order of complexity, and show how dissipative systems can be parametrised. In this process, we also establish a number of results for polynomial matrices that are of independent interest. The present article is a generalisation of our earlier work that dealt with single-input single-output dissipative systems (Pendharkar, I., and Pillai, H.K. (2004), 'A Parametrization for Dissipative Behaviours', Systems and Control Letters, 51, 123-132).
 
Publisher TAYLOR & FRANCIS LTD
 
Date 2011-08-30T19:55:52Z
2011-12-26T12:59:09Z
2011-12-27T05:50:06Z
2011-08-30T19:55:52Z
2011-12-26T12:59:09Z
2011-12-27T05:50:06Z
2009
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF CONTROL, 82(6), 1006-1017
0020-7179
http://dx.doi.org/10.1080/00207170802342800
http://dspace.library.iitb.ac.in/xmlui/handle/10054/12446
http://hdl.handle.net/10054/12446
 
Language en