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Analysis of switched and hybrid systems - beyond piecewise quadratic methods

Prajna, Stephen and Papachristodoulou, Antonis (2003) Analysis of switched and hybrid systems - beyond piecewise quadratic methods. In: Proceedings of the 2003 American Control Conference. IEEE , Piscataway, NJ, pp. 2779-2784. ISBN 0-7803-7896-2 http://resolver.caltech.edu/CaltechAUTHORS:20111017-133721568

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Abstract

This paper presents a method for stability analysis of switched and hybrid systems using polynomial and piecewise polynomial Lyapunov functions. Computation of such functions can be performed using convex optimization, based on the sum of squares decomposition of multivariate polynomials. The analysis yields several improvements over previous methods and opens up new possibilities, including the possibility of treating nonlinear vector fields and/or switching surfaces and parametric robustness analysis in a unified way.


Item Type:Book Section
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http://dx.doi.org/10.1109/ACC.2003.1243743 DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1243743PublisherUNSPECIFIED
Additional Information:© 2003 IEEE. Issue Date: 4-6 June 2003. Date of Current Version: 10 November 2003. This work was supported by AFOSR “Unified Theory for Complex Biological and Engineering Networks”, NIH/NIGMS AfCS (Alliance for Cellular Signalling), DARPA “Enlightened Multiscale Simulation of Biochemical Networks”, the Kitano ERATO Systems Biology Project, and URI “Protecting Infrastructures from Themselves”.
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Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
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Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Kitano ERATO Systems Biology ProjectUNSPECIFIED
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INSPEC Accession Number7811090
Record Number:CaltechAUTHORS:20111017-133721568
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20111017-133721568
Official Citation:Prajna, S.; Papachristodoulou, A.; , "Analysis of switched and hybrid systems - beyond piecewise quadratic methods," American Control Conference, 2003. Proceedings of the 2003 , vol.4, no., pp. 2779- 2784 vol.4, 4-6 June 2003 doi: 10.1109/ACC.2003.1243743 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1243743&isnumber=27864
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:27257
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 Oct 2011 23:00
Last Modified:26 Dec 2012 14:17

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