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A converse sum-of-squares Lyapunov result: An existence proof based on the Picard iteration.

Abstract:
In this paper, we show that local exponential stability of a polynomial vector field implies the existence of a Lyapunov function which is a sum-of-squares of polynomials. To do that, we use the Picard iteration. This result shows that local stability of polynomial vector fields can be computed in a relatively efficient manner using semidefinite programming. ©2010 IEEE.
Publication status:
Published

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Publisher copy:
10.1109/CDC.2010.5717536

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Institution:
University of Oxford
Department:
Oxford, MPLS, Engineering Science
Publisher:
IEEE Publisher's website
Pages:
5949-5954
Publication date:
2010
DOI:
ISSN:
0191-2216
URN:
uuid:241b1110-8f4c-4112-b352-24f6e618170a
Source identifiers:
206114
Local pid:
pubs:206114
ISBN:
9781424477456

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