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Generalised Absolute Stability and Sum of Squares

Abstract:

This paper introduces a general framework for analysing systems that have non-polynomial, uncertain or high order nonlinearities. It decomposes the vector field using Lur'e type feedback into a system with a polynomial or rational vector field and a nonlinear memoryless feedback term, which is bounded by polynomial or rational functions. This decomposition can be used to model uncertainty in the nonlinear term or to bound difficult to analyse nonlinearities by simpler polynomial or rational f...

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Publication status:
Published

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Institution:
University of Oxford
Division:
MPLS
Department:
Engineering Science
Role:
Author
Host title:
2011 AMERICAN CONTROL CONFERENCE
Pages:
2302-2307
Publication date:
2011-01-01
ISSN:
0743-1619
ISBN:
9781457700804
Pubs id:
pubs:220410
UUID:
uuid:f279751f-6444-4d98-bbf0-c459863397af
Local pid:
pubs:220410
Source identifiers:
220410
Deposit date:
2012-12-19

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