Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems

Ioan-Lucian Popa; Traian Ceauşu; Ovidiu Bagdasar; Ravi P. Agarwal

doi:10.2478/auom-2019-0025

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Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 27 (2019): Issue 2 (June 2019)

By: Ioan-Lucian Popa, Traian Ceauşu, Ovidiu Bagdasar and Ravi P. Agarwal

Open Access

|Sep 2019

Abstract

The concept of generalized exponential trichotomy for linear time-varying 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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Articles in this issue

DOI: https://doi.org/10.2478/auom-2019-0025 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 153 - 166

Submitted on: Jun 26, 2018

Accepted on: Jul 30, 2018

Published on: Sep 26, 2019

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

difference equations,

(generalized) exponential trichotomy,

discrete-time linear time-varying systems

Related subjects:

Mathematics,

General mathematics

© 2019 Ioan-Lucian Popa, Traian Ceauşu, Ovidiu Bagdasar, Ravi P. Agarwal, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 27 (2019): Issue 2 (June 2019)