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Constructing Lyapunov-Krasovskii Functionals For Linear Time Delay Systems

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.


Item Type:Book Section
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URLURL TypeDescription
http://dx.doi.org/10.1109/ACC.2005.1470401DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1470401PublisherUNSPECIFIED
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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Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Multidisciplinary University Research Initiative (MURI)UNSPECIFIED
NIH/NIGMS AfCS (Alliance for Cellular Signalling)UNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Kitano ERATO Systems Biology ProjectUNSPECIFIED
URIUNSPECIFIED
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INSPEC Accession Number8633811
Record Number:CaltechAUTHORS:20110825-090402786
Persistent URL:http://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:25 Aug 2011 17:38

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