Paper Info
Title
A parametrization for dissipative behaviors
Abstract
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 QΦs induced by some operator Φ. 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 QΦ. In fact, we parametrize all the behaviors dissipative with respect to QΦ in terms of those dissipative with respect to the special QDF QJ induced by the matrix J. Similar results can also be given for lossless systems.
Year
DOI
Venue
2004
10.1016/S0167-6911(03)00219-6
Systems & Control Letters
Keywords
Field
DocType
Behavioral theory,Dissipative systems,Passivity
Passivity,Mathematical optimization,Parametrization,Control theory,Matrix (mathematics),Dissipative system,Behavioral theory,Operator (computer programming),Mathematics,Lossless compression
Journal
Volume
Issue
ISSN
51
2
0167-6911
Citations 
PageRank 
References 
5
0.70
0
Authors
2
Name
Order
Citations
PageRank
Ishan Pendharkar1111.92
Harish K. Pillai29020.79