Multiparameter Fractional Difference Linear Control Systems
The Riemann-Liouville-, Caputo-, and Grünwald-Letnikov-type fractional order difference operators are discussed and used to state and solve the controllability and observability problems of linear fractional order discrete-time control systems with multiorder and multistep. It is shown that the obta...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/183782 |
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| _version_ | 1832567578297368576 |
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| author | Dorota Mozyrska |
| author_facet | Dorota Mozyrska |
| author_sort | Dorota Mozyrska |
| collection | DOAJ |
| description | The Riemann-Liouville-, Caputo-, and Grünwald-Letnikov-type fractional order difference operators are discussed and used to state and solve the controllability and observability problems of linear fractional order discrete-time control systems with multiorder and multistep. It is shown that the obtained results do not depend on the type of fractional operators and steps. The comparison of systems is made under the number of steps needed, firstly to achieve a final point, and secondly to distinguish initial conditions for particular operator. |
| format | Article |
| id | doaj-art-385d4215382741d4a8270ec4b037b1ce |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-385d4215382741d4a8270ec4b037b1ce2025-02-03T01:01:04ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/183782183782Multiparameter Fractional Difference Linear Control SystemsDorota Mozyrska0Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, 15-351 Bialystok, PolandThe Riemann-Liouville-, Caputo-, and Grünwald-Letnikov-type fractional order difference operators are discussed and used to state and solve the controllability and observability problems of linear fractional order discrete-time control systems with multiorder and multistep. It is shown that the obtained results do not depend on the type of fractional operators and steps. The comparison of systems is made under the number of steps needed, firstly to achieve a final point, and secondly to distinguish initial conditions for particular operator.http://dx.doi.org/10.1155/2014/183782 |
| spellingShingle | Dorota Mozyrska Multiparameter Fractional Difference Linear Control Systems Discrete Dynamics in Nature and Society |
| title | Multiparameter Fractional Difference Linear Control Systems |
| title_full | Multiparameter Fractional Difference Linear Control Systems |
| title_fullStr | Multiparameter Fractional Difference Linear Control Systems |
| title_full_unstemmed | Multiparameter Fractional Difference Linear Control Systems |
| title_short | Multiparameter Fractional Difference Linear Control Systems |
| title_sort | multiparameter fractional difference linear control systems |
| url | http://dx.doi.org/10.1155/2014/183782 |
| work_keys_str_mv | AT dorotamozyrska multiparameterfractionaldifferencelinearcontrolsystems |