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

Abstract

The present paper considers a concept of (h,k,μ,)-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,)-trichotomy in terms of two coupled systems having a (h,μ,)-dichotomy.

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