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An intrinsic behavioral approach to the gap metric

DSpace at IIT Bombay

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Field Value
 
Title An intrinsic behavioral approach to the gap metric
 
Creator BIAN, WM
FRENCH, M
PILLAI, HK
 
Subject quadratic differential forms
linear-system
time-series
robustness
linear shift invariant behaviors
maximal controllable subbehavior
gap metric
robust stability
 
Description An intrinsic trajectory level approach without any recourse to an algebraic structure of a representation is utilized to develop a behavioral approach to robust stability. In particular it is shown how the controllable behavior can be constructed at the trajectory level via Zorn's lemma, and this is utilized to study the controllable-autonomous decomposition. Stability concepts are defined, and the relation between this framework and the well-known difficulties of classical input-output approaches to systems over the doubly infinite time axis are discussed. The gap distance is generalized to the behavioral setting via a trajectory level definition; and a basic robust stability theorem is established for linear shift invariant behaviors. The robust stability theorem is shown to provide an explicit robustness interpretation to the behavioral H(infinity) synthesis of Willems and Trentelmann.
 
Publisher SIAM PUBLICATIONS
 
Date 2011-08-29T04:28:45Z
2011-12-26T12:58:24Z
2011-12-27T05:48:16Z
2011-08-29T04:28:45Z
2011-12-26T12:58:24Z
2011-12-27T05:48:16Z
2008
 
Type Article
 
Identifier SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 47(4), 1939-1960
0363-0129
http://dx.doi.org/10.1137/060656681
http://dspace.library.iitb.ac.in/xmlui/handle/10054/11958
http://hdl.handle.net/10054/11958
 
Language en