Published June 2005
| public
Book Section - Chapter
A Tutorial on Sum of Squares Techniques for Systems Analysis
Abstract
This tutorial is about new system analysis techniques that were developed in the past few years based on the sum of squares decomposition. We will present stability and robust stability analysis tools for different classes of systems: systems described by nonlinear ordinary differential equations or differential algebraic equations, hybrid systems with nonlinear subsystems and/or nonlinear switching surfaces, and time-delay systems described by nonlinear functional differential equations. We will also discuss how different analysis questions such as model validation and safety verification can be answered for uncertain nonlinear and hybrid systems.
Additional Information
© 2005 IEEE. Issue Date: 8-10 June 2005; Date of Current Version: 01 August 2005. Work financially supported by AFOSR MURI, NIH/NIGMS AfCS (Alliance for Cellular Signalling), DARPA, the Kitano ERATO Systems Biology Project, and URI "Protecting Infrastructures from Themselves".Additional details
- Eprint ID
- 24803
- DOI
- 10.1109/ACC.2005.1470374
- Resolver ID
- CaltechAUTHORS:20110811-103833858
- Air Force Office of Scientific Research (AFOSR) Multidisciplinary University Research Initiative (MURI)
- NIH/NIGMS AfCS (Alliance for Cellular Signalling)
- Defense Advanced Research Projects Agency (DARPA)
- Kitano ERATO Systems Biology Project
- URI
- Created
-
2011-08-11Created 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
- 8633799