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. https://resolver.caltech.edu/CaltechAUTHORS:20110825-090402786
Full text is not posted in this repository. Consult Related URLs below.
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20110825-090402786
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.
| Item Type: | Book Section | ||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Related URLs: |
| ||||||||||||||
| 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”. | ||||||||||||||
| Funders: |
| ||||||||||||||
| Other Numbering System: |
| ||||||||||||||
| Series Name: | Proceedings of the American Control Conference | ||||||||||||||
| DOI: | 10.1109/ACC.2005.1470401 | ||||||||||||||
| Record Number: | CaltechAUTHORS:20110825-090402786 | ||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20110825-090402786 | ||||||||||||||
| 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: | 09 Nov 2021 16:29 |
Repository Staff Only: item control page
