Lyapunov-Krasovskii Functionals Parameterized with Polynomials

Alexandre Seuret 1
1 NECS - Networked Controlled Systems
Inria Grenoble - Rhône-Alpes, GIPSA-DA - Département Automatique
Abstract : A novel method based on Lyapunov-Krasovskii functionals for the stability analysis of linear systems with constant is introduced. The Lyapunov-Krasovskii functionals are provided using polynomial parameters. Stability conditions are derived in the form of linear matrix inequalities. Examples show that these computationally tractable conditions can give tighter stability results than the ones in the literature.
Document type :
Conference papers
Liste complète des métadonnées

Cited literature [27 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00386275
Contributor : Alexandre Seuret <>
Submitted on : Wednesday, May 20, 2009 - 6:02:57 PM
Last modification on : Wednesday, April 11, 2018 - 1:58:27 AM
Document(s) archivé(s) le : Monday, October 15, 2012 - 10:50:48 AM

File

PolynomialLKF4.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00386275, version 1

Citation

Alexandre Seuret. Lyapunov-Krasovskii Functionals Parameterized with Polynomials. 6th IFAC Symposium on Robust Control Design (ROCOND\'09), Jun 2009, Haifa, Israel. ⟨hal-00386275⟩

Share

Metrics

Record views

475

Files downloads

610