Record Details

A parametrization for dissipative behaviors

DSpace at IIT Bombay

View Archive Info
 
 
Field Value
 
Title A parametrization for dissipative behaviors
 
Creator PENDHARKAR, I
PILLAI, HK
 
Subject dynamical-systems
behavioral theory
dissipative systems
passivity
 
Description The behavioral equivalent of single input single output (SISO) systems are behaviors with two manifest variables. Passive SISO systems can, therefore, be viewed as J-dissipative behaviors with two manifest variables. Here the special matrix J defines a QDF that captures the passivity property of SISO systems. In this paper, we investigate more general QDFs Q(Phi)s induced by some operator Phi. 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 QDF Q(Phi). In fact, we parametrize all the behaviors dissipative with respect to Q(Phi) in terms of those dissipative with respect to the special QDF Q(j) induced by the matrix J. Similar results can also be given for lossless systems. (C) 2003
 
Publisher ELSEVIER SCIENCE BV
 
Date 2011-07-22T19:34:57Z
2011-12-26T12:52:32Z
2011-12-27T05:38:37Z
2011-07-22T19:34:57Z
2011-12-26T12:52:32Z
2011-12-27T05:38:37Z
2004
 
Type Article
 
Identifier SYSTEMS & CONTROL LETTERS, 51(2), 123-132
0167-6911
http://dx.doi.org/10.1016/S0167-6911(03)00219-6
http://dspace.library.iitb.ac.in/xmlui/handle/10054/6336
http://hdl.handle.net/10054/6336
 
Language en