Published June 2005
| public
Book Section - Chapter
Constructing Lyapunov-Krasovskii Functionals For Linear Time Delay Systems
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.
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".Additional details
- Eprint ID
- 25087
- Resolver ID
- CaltechAUTHORS:20110825-090402786
- 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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2011-08-25Created from EPrint's datestamp field
- Updated
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2021-11-09Created 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
- 8633811