Published June 2003
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Analysis of switched and hybrid systems - beyond piecewise quadratic methods
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.
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".Attached Files
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Additional details
- Eprint ID
- 27257
- Resolver ID
- CaltechAUTHORS:20111017-133721568
- Air Force Office of Scientific Research (AFOSR)
- NIH/NIGMS
- Defense Advanced Research Projects Agency (DARPA)
- Kitano ERATO Systems Biology Project
- URI
- Created
-
2011-10-24Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field
- Other Numbering System Name
- INSPEC Accession Number
- Other Numbering System Identifier
- 7811090