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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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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
Divisions: Div F > Control
Depositing User: Unnamed user with email
Date Deposited: 17 Jul 2017 18:57
Last Modified: 09 Sep 2021 02:41
DOI: 10.1109/TAC.2013.2285771