Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems
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 a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2019-06-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/auom-2019-0025 |
| _version_ | 1818307421210148864 |
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| author | Popa Ioan-Lucian Ceauşu Traian Bagdasar Ovidiu Agarwal Ravi P. |
| author_facet | Popa Ioan-Lucian Ceauşu Traian Bagdasar Ovidiu Agarwal Ravi P. |
| author_sort | Popa Ioan-Lucian |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T06:58:06Z |
| format | Article |
| id | doaj.art-978359475f004b91a4a6728b848b513e |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-12-13T06:58:06Z |
| publishDate | 2019-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-978359475f004b91a4a6728b848b513e2022-12-21T23:56:00ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352019-06-0127215316610.2478/auom-2019-0025Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time SystemsPopa Ioan-Lucian0Ceauşu Traian1Bagdasar Ovidiu2Agarwal Ravi P.3Department of Exact Science and Engineering, “1 Decembrie 1918” University of Alba Iulia, 510009-Alba Iulia, Romania.Department of Mathematics, West University of Timişoara, 300223-Timişoara, Romania.School of Computing and Mathematics, University of Derby, Kedleston Road, Derby, DE22 1GB, UK.Department of Mathematics, Texas A&M University-Kingsville, 700 University Blvd., MSC 172, Kingsville, Texas 78363-8202.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.https://doi.org/10.2478/auom-2019-0025difference equations(generalized) exponential trichotomydiscrete-time linear time-varying systemsprimary 34d09, 34d05secondary 39a06, 93c55 |
| spellingShingle | Popa Ioan-Lucian Ceauşu Traian Bagdasar Ovidiu Agarwal Ravi P. Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica difference equations (generalized) exponential trichotomy discrete-time linear time-varying systems primary 34d09, 34d05 secondary 39a06, 93c55 |
| title | Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems |
| title_full | Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems |
| title_fullStr | Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems |
| title_full_unstemmed | Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems |
| title_short | Characterizations of Generalized Exponential Trichotomies for Linear Discrete-time Systems |
| title_sort | characterizations of generalized exponential trichotomies for linear discrete time systems |
| topic | difference equations (generalized) exponential trichotomy discrete-time linear time-varying systems primary 34d09, 34d05 secondary 39a06, 93c55 |
| url | https://doi.org/10.2478/auom-2019-0025 |
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