Papachristodoulou, Antonis (2004) Analysis of Nonlinear Time-Delay Systems using the Sum of Squares Decomposition. In: Proceedings of the 2004 American Control Conference. Proceedings of the American Control Conference. American Automatic Control Council , Evanston, IL, pp. 4153-4158. ISBN 0-7803-8335-4. https://resolver.caltech.edu/CaltechAUTHORS:20111018-140841980
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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.
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| 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" | ||||||||||||
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| Series Name: | Proceedings of the American Control Conference | ||||||||||||
| Record Number: | CaltechAUTHORS:20111018-140841980 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20111018-140841980 | ||||||||||||
| Official Citation: | Papachristodoulou, A.; "Analysis of nonlinear time-delay systems using the sum of squares decomposition," American Control Conference, 2004. Proceedings of the 2004 , vol.5, no., pp.4153-4158 vol.5, June 30 2004-July 2 2004 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1383959&isnumber=30144 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 27285 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Ruth Sustaita | ||||||||||||
| Deposited On: | 18 Oct 2011 21:46 | ||||||||||||
| Last Modified: | 03 Oct 2019 03:22 |
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