Nabla derivatives associated with nonlinear control systems on homogeneous time scales
The backward shift and nabla derivative operators, defined by the control system on homogeneous time scale, in vector spaces of one-forms and vector fields are introduced and some of their properties are proven. In particular the formulas for components of the backward shift and nabla derivative of...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2016-07-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13460 |
| _version_ | 1818365250828763136 |
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| author | Zbigniew Bartosiewicz Ülle Kotta Tanel Mullari Maris Tõnso Ewa Pawluszewicz Małgorzata Wyrwas |
| author_facet | Zbigniew Bartosiewicz Ülle Kotta Tanel Mullari Maris Tõnso Ewa Pawluszewicz Małgorzata Wyrwas |
| author_sort | Zbigniew Bartosiewicz |
| collection | DOAJ |
| description | The backward shift and nabla derivative operators, defined by the control system on homogeneous time scale, in vector spaces of one-forms and vector fields are introduced and some of their properties are proven. In particular the formulas for components of the backward shift and nabla derivative of an arbitrary vector field are presented. |
| first_indexed | 2024-12-13T22:17:17Z |
| format | Article |
| id | doaj.art-8004b24f56734b539fcc8414ce61e91d |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-13T22:17:17Z |
| publishDate | 2016-07-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-8004b24f56734b539fcc8414ce61e91d2022-12-21T23:29:28ZengVilnius University PressNonlinear Analysis1392-51132335-89632016-07-0121410.15388/NA.2016.4.8Nabla derivatives associated with nonlinear control systems on homogeneous time scalesZbigniew Bartosiewicz0Ülle Kotta1Tanel Mullari2Maris Tõnso3Ewa Pawluszewicz4Małgorzata Wyrwas5Bialystok University of Technology, PolandTallinn University of Technology, EstoniaTallinn University of Technology, EstoniaTallinn University of Technology, EstoniaBialystok University of Technology, PolandBialystok University of Technology, PolandThe backward shift and nabla derivative operators, defined by the control system on homogeneous time scale, in vector spaces of one-forms and vector fields are introduced and some of their properties are proven. In particular the formulas for components of the backward shift and nabla derivative of an arbitrary vector field are presented.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13460nonlinear systemtime scalevector fieldone-formnabla and delta derivatives |
| spellingShingle | Zbigniew Bartosiewicz Ülle Kotta Tanel Mullari Maris Tõnso Ewa Pawluszewicz Małgorzata Wyrwas Nabla derivatives associated with nonlinear control systems on homogeneous time scales Nonlinear Analysis nonlinear system time scale vector field one-form nabla and delta derivatives |
| title | Nabla derivatives associated with nonlinear control systems on homogeneous time scales |
| title_full | Nabla derivatives associated with nonlinear control systems on homogeneous time scales |
| title_fullStr | Nabla derivatives associated with nonlinear control systems on homogeneous time scales |
| title_full_unstemmed | Nabla derivatives associated with nonlinear control systems on homogeneous time scales |
| title_short | Nabla derivatives associated with nonlinear control systems on homogeneous time scales |
| title_sort | nabla derivatives associated with nonlinear control systems on homogeneous time scales |
| topic | nonlinear system time scale vector field one-form nabla and delta derivatives |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13460 |
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