Datko-Pazy conditions for nonuniform exponential stability

DOI10.1080/10236198.2017.1408609zbMath1425.37038arXiv1711.07284OpenAlexW2963859182WikidataQ115550416 ScholiaQ115550416MaRDI QIDQ5243401

Davor Dragičević

Publication date: 18 November 2019

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.07284

zbMATH Keywords

stabilityLyapunov exponentslinear cocycleDatko-Pazy theorem

Mathematics Subject Classification ID

Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Stability theory for smooth dynamical systems (37C75)

Related Items (9)

On stability of discrete dynamical systems: from global methods to ergodic theory approaches ⋮ Nonuniform input-output criteria for exponential expansiveness of discrete dynamical systems and applications ⋮ Admissible Banach function spaces and nonuniform stabilities ⋮ Input-output criteria for stability and expansiveness of dynamical systems ⋮ A Rolewicz-type characterization of nonuniform behaviour ⋮ On the asymptotic behavior of discrete dynamical systems -- an ergodic theory approach ⋮ On the exponential stability and hyperbolicity of linear cocycles ⋮ Barbashin-type conditions for exponential stability of linear cocycles ⋮ Some Datko and Barbashin type characterizations for the uniform \(h\)-instability of evolution families

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