Title
An Intrinsic Behavioural Approach to the Gap Metric
Abstract
An intrinsic trajectory level approach without any recourse to an algebraic structure of a representation is utilized to develop a behavioural approach to robust stability. In particular it is shown how the controllable behaviour can be constructed at the trajectory level via Zorn's Lemma, and this is utilized to study the controllable-autonomous decomposition. The gap distance is generalised to the behavioural setting via a trajectory level definition; and a basic robust stability theorem is established for linear shift invariant behaviours.
Year
DOI
Venue
2008
10.1109/CDC.2005.1582379
Siam Journal on Control and Optimization
Keywords
DocType
Volume
gap metric,intrinsic trajectory level approach,intrinsic behavioral approach,robust stability,robust stability theorem,behavioral approach,stability concept,trajectory level,basic robust stability theorem,behavioral setting,classical input-output approach,trajectory level definition,transfer functions,control systems,polynomials,vectors,nonlinear systems,circuit topology,computer science,kernel
Journal
47
Issue
ISSN
ISBN
4
0363-0129
0-7803-9567-0
Citations 
PageRank 
References 
1
0.40
4
Authors
3
Name
Order
Citations
PageRank
Wenming Bian162.06
Mark French210.40
Harish K. Pillai39020.79