<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems

Department of Exact Science and Engineering

“1 Decembrie 1918” University of Alba Iulia

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The concept of generalized exponential trichotomy for linear time-varying systems is investigated in relationship with the classical notion of uniform...

Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems

Published Online: Sep 26, 2019

Page range: 153 - 166

Received: Jun 26, 2018

Accepted: Jul 30, 2018

DOI: https://doi.org/10.2478/auom-2019-0025

Keywords
difference equations, (generalized) exponential trichotomy, discrete-time linear time-varying systems

© 2019 Ioan-Lucian Popa et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems

Published Online: Sep 26, 2019

Page range: 153 - 166

Received: Jun 26, 2018

Accepted: Jul 30, 2018

DOI: https://doi.org/10.2478/auom-2019-0025

Keywordsdifference equations, (generalized) exponential trichotomy, discrete-time linear time-varying systems

© 2019 Ioan-Lucian Popa et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
difference equations, (generalized) exponential trichotomy, discrete-time linear time-varying systems