engleski

Datko-Pazy conditions for nonuniform exponential stability

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 of Cao on growth of sub-additive functions over semi- flows, we also present new criteria for uniform exponential stability of linear cocycles.

Cocycle, Lyapunov exponents, Datko-Pazy theorem

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