English

Datko-Pazy conditions for nonuniform exponential stability

Dynamical Systems 2017-11-21 v1 Classical Analysis and ODEs

Abstract

For linear cocycles over both maps and flows, we obtain Datko-Pazy type of conditions under which all Lyapunov exponents of a given cocycle are negative. Furthermore, by combining our results with the results on subadditive ergodic optimisation, we also present new criteria for uniform exponential stability of linear cocycles.

Keywords

Cite

@article{arxiv.1711.07284,
  title  = {Datko-Pazy conditions for nonuniform exponential stability},
  author = {Davor Dragicevic},
  journal= {arXiv preprint arXiv:1711.07284},
  year   = {2017}
}

Comments

final version will be published in Journal of Difference Equations and Applications

R2 v1 2026-06-22T22:51:24.097Z