Exponential decay of transient values in discrete-time positive nonlinear systems
The exponential decay of transient values in discrete-time nonlinear standard and fractional orders systems with linear positive linear part and positive feedbacks is investigated. Sufficient conditions for the exponential decay of transient values in this class of positive nonlinear systems are est...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2022-09-01
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| Series: | Archives of Control Sciences |
| Subjects: | |
| Online Access: | https://journals.pan.pl/Content/124477/PDF/art05_int.pdf |
| _version_ | 1811229982351949824 |
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| author | Tadeusz Kaczorek Andrzej Ruszewski |
| author_facet | Tadeusz Kaczorek Andrzej Ruszewski |
| author_sort | Tadeusz Kaczorek |
| collection | DOAJ |
| description | The exponential decay of transient values in discrete-time nonlinear standard and fractional orders systems with linear positive linear part and positive feedbacks is investigated. Sufficient conditions for the exponential decay of transient values in this class of positive nonlinear systems are established. A procedure for computation of gains characterizing the class of nonlinear elements are given and illustrated on simple example. |
| first_indexed | 2024-04-12T10:22:32Z |
| format | Article |
| id | doaj.art-39b03ee502d34fb9907363290c372763 |
| institution | Directory Open Access Journal |
| issn | 1230-2384 |
| language | English |
| last_indexed | 2024-04-12T10:22:32Z |
| publishDate | 2022-09-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Control Sciences |
| spelling | doaj.art-39b03ee502d34fb9907363290c3727632022-12-22T03:37:03ZengPolish Academy of SciencesArchives of Control Sciences1230-23842022-09-01vol. 32No 3577588https://doi.org/10.24425/acs.2022.142849Exponential decay of transient values in discrete-time positive nonlinear systemsTadeusz Kaczorek0https://orcid.org/0000-0002-1270-3948Andrzej Ruszewski1Bialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D,15-351 Białystok, PolandBialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D,15-351 Białystok, PolandThe exponential decay of transient values in discrete-time nonlinear standard and fractional orders systems with linear positive linear part and positive feedbacks is investigated. Sufficient conditions for the exponential decay of transient values in this class of positive nonlinear systems are established. A procedure for computation of gains characterizing the class of nonlinear elements are given and illustrated on simple example.https://journals.pan.pl/Content/124477/PDF/art05_int.pdfexponential decaytransient valuediscrete-timefractional orderpositivenonlinearfeedbacksystem |
| spellingShingle | Tadeusz Kaczorek Andrzej Ruszewski Exponential decay of transient values in discrete-time positive nonlinear systems Archives of Control Sciences exponential decay transient value discrete-time fractional order positive nonlinear feedback system |
| title | Exponential decay of transient values in discrete-time positive nonlinear systems |
| title_full | Exponential decay of transient values in discrete-time positive nonlinear systems |
| title_fullStr | Exponential decay of transient values in discrete-time positive nonlinear systems |
| title_full_unstemmed | Exponential decay of transient values in discrete-time positive nonlinear systems |
| title_short | Exponential decay of transient values in discrete-time positive nonlinear systems |
| title_sort | exponential decay of transient values in discrete time positive nonlinear systems |
| topic | exponential decay transient value discrete-time fractional order positive nonlinear feedback system |
| url | https://journals.pan.pl/Content/124477/PDF/art05_int.pdf |
| work_keys_str_mv | AT tadeuszkaczorek exponentialdecayoftransientvaluesindiscretetimepositivenonlinearsystems AT andrzejruszewski exponentialdecayoftransientvaluesindiscretetimepositivenonlinearsystems |