On dissipative SISO systems: a behavioral approach
DSpace at IIT Bombay
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Title |
On dissipative SISO systems: a behavioral approach
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Creator |
PENDHARKAR, ISHAN
PILLAI, HARISH K |
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Subject |
differential equations
behavioral research matrix algebra transfer functions |
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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.
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Publisher |
IEEE
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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 |
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Type |
Article
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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 |
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Language |
en
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