Datko-Pazy conditions for nonuniform exponential stability

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.

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