Generalized Fractional-Order Discrete-Time Integrator
We investigate a generalization of discrete-time integrator. Proposed linear discrete-time integrator is characterised by the variable, fractional order of integration/summation. Graphical illustrations of an analysis of particular vector matrices are presented. In numerical examples, we show relati...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2017/3452409 |
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| _version_ | 1832563827708788736 |
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| author | Dorota Mozyrska Piotr Ostalczyk |
| author_facet | Dorota Mozyrska Piotr Ostalczyk |
| author_sort | Dorota Mozyrska |
| collection | DOAJ |
| description | We investigate a generalization of discrete-time integrator. Proposed linear discrete-time integrator is characterised by the variable, fractional order of integration/summation. Graphical illustrations of an analysis of particular vector matrices are presented. In numerical examples, we show relations between the order functions and element responses. |
| format | Article |
| id | doaj-art-1c94ca58e54b4aebb5ffcfef388367f0 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-1c94ca58e54b4aebb5ffcfef388367f02025-02-03T01:12:24ZengWileyComplexity1076-27871099-05262017-01-01201710.1155/2017/34524093452409Generalized Fractional-Order Discrete-Time IntegratorDorota Mozyrska0Piotr Ostalczyk1Faculty of Computer Science, Bialystok University of Technology, Białystok, PolandInstitute of Applied Computer Science, Lodz University of Technology, Łódź, PolandWe investigate a generalization of discrete-time integrator. Proposed linear discrete-time integrator is characterised by the variable, fractional order of integration/summation. Graphical illustrations of an analysis of particular vector matrices are presented. In numerical examples, we show relations between the order functions and element responses.http://dx.doi.org/10.1155/2017/3452409 |
| spellingShingle | Dorota Mozyrska Piotr Ostalczyk Generalized Fractional-Order Discrete-Time Integrator Complexity |
| title | Generalized Fractional-Order Discrete-Time Integrator |
| title_full | Generalized Fractional-Order Discrete-Time Integrator |
| title_fullStr | Generalized Fractional-Order Discrete-Time Integrator |
| title_full_unstemmed | Generalized Fractional-Order Discrete-Time Integrator |
| title_short | Generalized Fractional-Order Discrete-Time Integrator |
| title_sort | generalized fractional order discrete time integrator |
| url | http://dx.doi.org/10.1155/2017/3452409 |
| work_keys_str_mv | AT dorotamozyrska generalizedfractionalorderdiscretetimeintegrator AT piotrostalczyk generalizedfractionalorderdiscretetimeintegrator |