Journal article
A converse sum of squares Lyapunov result with a degree bound
- Abstract:
-
Sum of Squares programming has been used extensively over the past decade for the stability analysis of nonlinear systems but several questions remain unanswered. In this paper, we show that exponential stability of a polynomial vector field on a bounded set implies the existence of a Lyapunov function which is a sum-of-squares of polynomials. In particular, the main result states that if a system is exponentially stable on a bounded nonempty set, then there exists an SOS Lyapunov function wh...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Authors
Funding
National Science Foundation
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Engineering and Physical Sciences Research Council
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Bibliographic Details
- Publisher:
- IEEE Publisher's website
- Journal:
- IEEE Transactions on Automatic Control Journal website
- Volume:
- 57
- Issue:
- 9
- Pages:
- 2281-2293
- Publication date:
- 2012-01-12
- DOI:
- EISSN:
-
1558-2523
- ISSN:
-
0018-9286
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:318839
- UUID:
-
uuid:8dc23ef3-384b-4d38-bbc6-4aedf838c97b
- Local pid:
- pubs:318839
- Source identifiers:
-
318839
- Deposit date:
- 2013-03-20
Terms of use
- Copyright holder:
- IEEE
- Copyright date:
- 2012
- Notes:
- Copyright 2012 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
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