Reachable Set Bounding for Homogeneous Nonlinear Systems with Delay and Disturbance
Reachable set bounding for homogeneous nonlinear systems with delay and disturbance is studied. By the usage of a new method for stability analysis of positive systems, an explicit necessary and sufficient condition is first derived to guarantee that all the states of positive homogeneous time-delay...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/8698294 |
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| _version_ | 1832556026466926592 |
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| author | Xingao Zhu Yuangong Sun |
| author_facet | Xingao Zhu Yuangong Sun |
| author_sort | Xingao Zhu |
| collection | DOAJ |
| description | Reachable set bounding for homogeneous nonlinear systems with delay and disturbance is studied. By the usage of a new method for stability analysis of positive systems, an explicit necessary and sufficient condition is first derived to guarantee that all the states of positive homogeneous time-delay systems with degree p>1 converge asymptotically within a specific ball. Furthermore, the main result is extended to a class of nonlinear time variant systems. A numerical example is given to demonstrate the effectiveness of the obtained results. |
| format | Article |
| id | doaj-art-e6b5bbfcef1f4bc4ba8fb97a1ba30935 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-e6b5bbfcef1f4bc4ba8fb97a1ba309352025-02-03T05:46:36ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/86982948698294Reachable Set Bounding for Homogeneous Nonlinear Systems with Delay and DisturbanceXingao Zhu0Yuangong Sun1School of Mathematical Sciences, University of Jinan, Jinan 250022, ChinaSchool of Mathematical Sciences, University of Jinan, Jinan 250022, ChinaReachable set bounding for homogeneous nonlinear systems with delay and disturbance is studied. By the usage of a new method for stability analysis of positive systems, an explicit necessary and sufficient condition is first derived to guarantee that all the states of positive homogeneous time-delay systems with degree p>1 converge asymptotically within a specific ball. Furthermore, the main result is extended to a class of nonlinear time variant systems. A numerical example is given to demonstrate the effectiveness of the obtained results.http://dx.doi.org/10.1155/2019/8698294 |
| spellingShingle | Xingao Zhu Yuangong Sun Reachable Set Bounding for Homogeneous Nonlinear Systems with Delay and Disturbance Complexity |
| title | Reachable Set Bounding for Homogeneous Nonlinear Systems with Delay and Disturbance |
| title_full | Reachable Set Bounding for Homogeneous Nonlinear Systems with Delay and Disturbance |
| title_fullStr | Reachable Set Bounding for Homogeneous Nonlinear Systems with Delay and Disturbance |
| title_full_unstemmed | Reachable Set Bounding for Homogeneous Nonlinear Systems with Delay and Disturbance |
| title_short | Reachable Set Bounding for Homogeneous Nonlinear Systems with Delay and Disturbance |
| title_sort | reachable set bounding for homogeneous nonlinear systems with delay and disturbance |
| url | http://dx.doi.org/10.1155/2019/8698294 |
| work_keys_str_mv | AT xingaozhu reachablesetboundingforhomogeneousnonlinearsystemswithdelayanddisturbance AT yuangongsun reachablesetboundingforhomogeneousnonlinearsystemswithdelayanddisturbance |