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arxiv: 1512.01714 · v1 · pith:IYJXGZPTnew · submitted 2015-12-06 · 🧮 math.DS

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

classification 🧮 math.DS
keywords systemslineartime-varyingtrichotomyadmitscharacterizationcharacterizationsconcept
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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.

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