Characterizations of the (h,k,μ,ν)−(h,k,μ,ν)-Trichotomy for Linear Time-Varying Systems

preprint2015arXivOpen access

Abstract

The present paper considers a concept of (h,k,μ,ν)−(h,k,μ,ν)-trichotomy for noninvertible linear time-varying systems in Hilbert spaces. This work provides a characterization for linear time-varying systems that admits a (h,k,μ,ν)−(h,k,μ,ν)-trichotomy in terms of two coupled systems having a (h,μ,ν)−(h,μ,ν)-dichotomy.

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