Reachable Set Bounding for a Class of Nonlinear Time-Varying Systems with Delay
We investigate the problem of reachable set bounding for a class of continuous-time and discrete-time nonlinear time-varying systems with time-varying delay. Unlike some preceding works, the involved disturbance input and time-varying delay are not assumed to be bounded. By employing an approach whi...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/7308476 |
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| _version_ | 1832567797030322176 |
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| author | Xingao Zhu Yuangong Sun Fanwei Meng |
| author_facet | Xingao Zhu Yuangong Sun Fanwei Meng |
| author_sort | Xingao Zhu |
| collection | DOAJ |
| description | We investigate the problem of reachable set bounding for a class of continuous-time and discrete-time nonlinear time-varying systems with time-varying delay. Unlike some preceding works, the involved disturbance input and time-varying delay are not assumed to be bounded. By employing an approach which does not involve the conventional Lyapunov-Krasovskii functional, new conditions are proposed such that all the state trajectories of the system converge asymptotically within a ball. Two illustrative examples are also given to show the effectiveness of the obtained results. |
| format | Article |
| id | doaj-art-6757fb29d652474ebecfdcc99c307c9d |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-6757fb29d652474ebecfdcc99c307c9d2025-02-03T01:00:35ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/73084767308476Reachable Set Bounding for a Class of Nonlinear Time-Varying Systems with DelayXingao Zhu0Yuangong Sun1Fanwei Meng2School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, ChinaWe investigate the problem of reachable set bounding for a class of continuous-time and discrete-time nonlinear time-varying systems with time-varying delay. Unlike some preceding works, the involved disturbance input and time-varying delay are not assumed to be bounded. By employing an approach which does not involve the conventional Lyapunov-Krasovskii functional, new conditions are proposed such that all the state trajectories of the system converge asymptotically within a ball. Two illustrative examples are also given to show the effectiveness of the obtained results.http://dx.doi.org/10.1155/2018/7308476 |
| spellingShingle | Xingao Zhu Yuangong Sun Fanwei Meng Reachable Set Bounding for a Class of Nonlinear Time-Varying Systems with Delay Advances in Mathematical Physics |
| title | Reachable Set Bounding for a Class of Nonlinear Time-Varying Systems with Delay |
| title_full | Reachable Set Bounding for a Class of Nonlinear Time-Varying Systems with Delay |
| title_fullStr | Reachable Set Bounding for a Class of Nonlinear Time-Varying Systems with Delay |
| title_full_unstemmed | Reachable Set Bounding for a Class of Nonlinear Time-Varying Systems with Delay |
| title_short | Reachable Set Bounding for a Class of Nonlinear Time-Varying Systems with Delay |
| title_sort | reachable set bounding for a class of nonlinear time varying systems with delay |
| url | http://dx.doi.org/10.1155/2018/7308476 |
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