A Differential Lyapunov Framework for Contraction Analysis

@article{Forni2014ADL,
  title={A Differential Lyapunov Framework for Contraction Analysis},
  author={Fulvio Forni and Rodolphe Sepulchre},
  journal={IEEE Transactions on Automatic Control},
  year={2014},
  volume={59},
  pages={614-628}
}
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. 
Highly Influential
This paper has highly influenced 24 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 149 citations. REVIEW CITATIONS

1 Figure or Table

Topics

Statistics

02040201320142015201620172018
Citations per Year

150 Citations

Semantic Scholar estimates that this publication has 150 citations based on the available data.

See our FAQ for additional information.