Characterizations of the $(h,k,\mu ,\nu )-$Trichotomy for Linear Time-Varying Systems

Abstract

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

10 pages