Referenced Items are not available for this document.
We provide an algorithm for establishing the nonexistence of a common quadratic Lyapunov function for switched LTI systems under arbitrary switching. We show that this nonex-istence question is equivalent to the emptiness of an associated semi-algebraic set. The celebrated Positivstellensatz from real algebraic geometry provides a complete characterization of when this set is empty. Finally, we obtain the desired certificates of set emptiness using sum of squares programming.
Published in:
System Theory (SSST), 2011 IEEE 43rd Southeastern Symposium on
Date of Conference: 14-16 March 2011
- Page(s):
- 55 - 58
- ISSN :
- 0094-2898
- Print ISBN:
- 978-1-4244-9594-8
- INSPEC Accession Number:
- 11963037
- Conference Location :
- Auburn, AL
- Digital Object Identifier :
- 10.1109/SSST.2011.5753776
- Product Type:
- Conference Publications
About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies
A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2013 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.
