What is it about?
The concept of generalized exponential trichotomy for linear timevarying systems is investigated in relationship with the classical notion of uniform exponential trichotomy. Some key properties of generalized exponential trichotomy are explored through supplementary projections. These results are also extended to the case of projection sequences, while certain applications for adjoint systems are suggested.
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Why is it important?
We discuss some new properties of generalized exponential trichotomy. Our results provide the platform for applications regarding adjoint systems.
Perspectives
This publication is a development of the classical concept of dichotomy.
Ovidiu Bagdasar
University of Derby
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This page is a summary of: Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems, Analele ştiinţifice ale Universităţii "Ovidius" Constanţa Seria Matematică, June 2019, De Gruyter,
DOI: 10.2478/auom-2019-0025.
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