Further Results on Reachable Set Bounding for Discrete-Time System with Time-Varying Delay and Bounded Disturbance Inputs
This paper investigates the problem of reachable set bounding for discrete-time system with time-varying delay and bounded disturbance inputs. Together with a new Lyapunov-Krasovskii functional, discrete Wirtinger-based inequality, and reciprocally convex approach, sufficient conditions are derived...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/9259284 |
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| _version_ | 1832548561594613760 |
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| author | Wei Kang Hao Chen Kaibo Shi Jun Cheng |
| author_facet | Wei Kang Hao Chen Kaibo Shi Jun Cheng |
| author_sort | Wei Kang |
| collection | DOAJ |
| description | This paper investigates the problem of reachable set bounding for discrete-time system with time-varying delay and bounded disturbance inputs. Together with a new Lyapunov-Krasovskii functional, discrete Wirtinger-based inequality, and reciprocally convex approach, sufficient conditions are derived to find an ellipsoid to bound the reachable sets of discrete-time delayed system. The main advantage of this paper lies in two aspects: first, the initial state vectors are not necessarily zero; second, the obtained criteria in this paper do not really require all the symmetric matrices involved in the employed Lyapunov-Krasovskii functional to be positive definite. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-abfba81fe93b40beacddefb732b3a5b5 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-abfba81fe93b40beacddefb732b3a5b52025-02-03T06:13:40ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/92592849259284Further Results on Reachable Set Bounding for Discrete-Time System with Time-Varying Delay and Bounded Disturbance InputsWei Kang0Hao Chen1Kaibo Shi2Jun Cheng3School of Information Engineering, Fuyang Normal University, Fuyang 236041, ChinaSchool of Mathematics Science, Huaibei Normal University, Huaibei 235000, ChinaSchool of Information Science and Engineering, Chengdu University, Chengdu 610106, ChinaSchool of Science, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaThis paper investigates the problem of reachable set bounding for discrete-time system with time-varying delay and bounded disturbance inputs. Together with a new Lyapunov-Krasovskii functional, discrete Wirtinger-based inequality, and reciprocally convex approach, sufficient conditions are derived to find an ellipsoid to bound the reachable sets of discrete-time delayed system. The main advantage of this paper lies in two aspects: first, the initial state vectors are not necessarily zero; second, the obtained criteria in this paper do not really require all the symmetric matrices involved in the employed Lyapunov-Krasovskii functional to be positive definite. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2018/9259284 |
| spellingShingle | Wei Kang Hao Chen Kaibo Shi Jun Cheng Further Results on Reachable Set Bounding for Discrete-Time System with Time-Varying Delay and Bounded Disturbance Inputs Complexity |
| title | Further Results on Reachable Set Bounding for Discrete-Time System with Time-Varying Delay and Bounded Disturbance Inputs |
| title_full | Further Results on Reachable Set Bounding for Discrete-Time System with Time-Varying Delay and Bounded Disturbance Inputs |
| title_fullStr | Further Results on Reachable Set Bounding for Discrete-Time System with Time-Varying Delay and Bounded Disturbance Inputs |
| title_full_unstemmed | Further Results on Reachable Set Bounding for Discrete-Time System with Time-Varying Delay and Bounded Disturbance Inputs |
| title_short | Further Results on Reachable Set Bounding for Discrete-Time System with Time-Varying Delay and Bounded Disturbance Inputs |
| title_sort | further results on reachable set bounding for discrete time system with time varying delay and bounded disturbance inputs |
| url | http://dx.doi.org/10.1155/2018/9259284 |
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