Published June 2004
| public
Book Section - Chapter
Analysis of Nonlinear Time-Delay Systems using the Sum of Squares Decomposition
- Creators
- Papachristodoulou, Antonis
Abstract
The use of the sum of squares decomposition and semidefinite programming have provided an efficient methodology for analysis of nonlinear systems described by ODEs by algorithmically constructing Lyapunov functions. Based on the same methodology we present an algorithmic procedure for constructing Lyapunov-Krasovskii functional for nonlinear time delay systems described by functional differential equations (FDEs) both for delay-dependent and delay-independent stability analysis. Robust stability analysis of these systems under parametric uncertainty can be treated in a unified way. We illustrate the results with an example from population dynamics.
Additional Information
© 2004 AACC. Issue Date: June 30 2004-July 2 2004. Date of Current Version: 24 January 2005. Work financially supported by AFOSR MURI, NIH/NIGMS AfCS (Alliance for Cellular Signalling), DARPA, Kitano ERATO Systems Biology Project, and URI "Protecting Infrastructures from Themselves"Additional details
- Eprint ID
- 27285
- Resolver ID
- CaltechAUTHORS:20111018-140841980
- 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
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2011-10-18Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field
- Series Name
- Proceedings of the American Control Conference
- Other Numbering System Name
- INSPEC Accession Number
- Other Numbering System Identifier
- 8262834