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On dissipative SISO systems: a behavioral approach

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Title On dissipative SISO systems: a behavioral approach
 
Creator PENDHARKAR, ISHAN
PILLAI, HARISH K
 
Subject differential equations
behavioral research
matrix algebra
transfer functions
 
Description The behavioral equivalent of SISO systems are behaviors with two manifest variables. In this paper we investigate behaviors with two manifest variables that are dissipative with respect to a supply rate induced by a quadratic differential form (QDF). These QDFs define some relation between the input, the output and their derivatives of a SISO system. We characterize all behaviors that are dissipative with respect to the prescribed supply rate. In fact, we parametrize all the behaviors dissipative with respect to the prescribed supply rate in terms of those that are dissipative with respect to a "special" QDF. Similar results can also be given for lossless systems.
 
Publisher IEEE
 
Date 2008-12-12T04:46:08Z
2011-11-28T09:18:38Z
2011-12-15T09:58:07Z
2008-12-12T04:46:08Z
2011-11-28T09:18:38Z
2011-12-15T09:58:07Z
2003
 
Type Article
 
Identifier Proceedings of the 42nd IEEE Conference on Decision and Control (V 2), Mauli, USA, 9-12 December 2003, 1616-1620
0-7803-7924-1
10.1109/CDC.2003.1272843
http://hdl.handle.net/10054/306
http://dspace.library.iitb.ac.in/xmlui/handle/10054/306
 
Language en