Back to Search
Start Over
A Differential Lyapunov Framework for Contraction Analysis.
- Source :
-
IEEE Transactions on Automatic Control . Mar2014, Vol. 59 Issue 3, p614-628. 15p. - Publication Year :
- 2014
-
Abstract
- Lyapunov's second theorem is an essential tool for stability analysis of differential equations. The paper provides an analog theorem for incremental stability analysis by lifting the Lyapunov function to the tangent bundle. The Lyapunov function endows the state-space with a Finsler structure. Incremental stability is inferred from infinitesimal contraction of the Finsler metrics through integration along solutions curves. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 59
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 94614872
- Full Text :
- https://doi.org/10.1109/TAC.2013.2285771