CUED Publications database

A differential lyapunov framework for contraction analysis

Forni, F and Sepulchre, R (2014) A differential lyapunov framework for contraction analysis. IEEE Transactions on Automatic Control, 59. pp. 614-628. ISSN 0018-9286

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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. © 2013 IEEE.

Item Type: Article
Uncontrolled Keywords: Contraction incremental stability linearization Lyapunov methods nonlinear systems
Subjects: UNSPECIFIED
Divisions: Div F > Control
Depositing User: Cron Job
Date Deposited: 27 Mar 2014 07:45
Last Modified: 22 Dec 2014 01:15
DOI: 10.1109/TAC.2013.2285771