Papachristodoulou, Antonis and Peet, Matthew and Lall, Sanjay (2005) Constructing Lyapunov-Krasovskii Functionals For Linear Time Delay Systems. In: Proceedings of the 2005 American Control Conference. Proceedings of the American Control Conference . American Automatic Control Council , Evanston, IL , pp. 2845-2850. ISBN 0-7803-9098-9 http://resolver.caltech.edu/CaltechAUTHORS:20110825-090402786
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Abstract
We present an algorithmic methodology for constructing Lyapunov-Krasovskii (L-K) functionals for linear time-delay systems, using the sum of squares decomposition of multivariate polynomials to solve the related infinite dimensional Linear Matrix Inequalities (LMIs). The resulting functionals retain the structure of the complete L-K functional and yield conditions that approach the true delay-dependent stability bounds. The method can also be used to construct parameter-dependent L-K functionals for certifying stability under parametric uncertainty.
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| Additional Information: | © 2005 AACC. 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”. | ||||||||||||||
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| Record Number: | CaltechAUTHORS:20110825-090402786 | ||||||||||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20110825-090402786 | ||||||||||||||
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| Official Citation: | Papachristodoulou, A.; Peet, M.; Lall, S.; , "Constructing Lyapunov-Krasovskii functionals for linear time delay systems," American Control Conference, 2005. Proceedings of the 2005 , vol., no., pp. 2845- 2850 vol. 4, 8-10 June 2005 doi: 10.1109/ACC.2005.1470401 | ||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||
| ID Code: | 25087 | ||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||
| Deposited By: | Ruth Sustaita | ||||||||||||||
| Deposited On: | 25 Aug 2011 17:38 | ||||||||||||||
| Last Modified: | 25 Aug 2011 17:38 |
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