New Stabilization Results for Semi-Markov Chaotic Systems with Fuzzy Sampled-Data Control
This paper investigates the problem of stabilization for semi-Markov chaotic systems with fuzzy sampled-data controllers, in which the semi-Markov jump has generally uncertain transition rates. The exponential stability condition is firstly obtained by the following two main techniques: To make full...
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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/10.1155/2019/7875305 |
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| _version_ | 1832563339854610432 |
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| author | Tao Wu Jinde Cao Lianglin Xiong Haiyang Zhang |
| author_facet | Tao Wu Jinde Cao Lianglin Xiong Haiyang Zhang |
| author_sort | Tao Wu |
| collection | DOAJ |
| description | This paper investigates the problem of stabilization for semi-Markov chaotic systems with fuzzy sampled-data controllers, in which the semi-Markov jump has generally uncertain transition rates. The exponential stability condition is firstly obtained by the following two main techniques: To make full use of the information about the actual sampling pattern, a novel augmented input-delay-dependent Lyapunov–Krasovskii functional (LKF) is firstly introduced. Meanwhile, a new zero-value equation is established to increase the combinations of component vectors of the resulting vector. The corresponding fuzzy sampled-data controllers are designed based on the stability condition. Finally, the validity and merits of the developed theories are shown by two numerical examples. |
| format | Article |
| id | doaj-art-194ec9ed50ae4e229fe54291b38c37d9 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-194ec9ed50ae4e229fe54291b38c37d92025-02-03T01:20:25ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/78753057875305New Stabilization Results for Semi-Markov Chaotic Systems with Fuzzy Sampled-Data ControlTao Wu0Jinde Cao1Lianglin Xiong2Haiyang Zhang3School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, ChinaSchool of Mathematics, Southeast University, Nanjing 210096, ChinaSchool of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, ChinaSchool of Science, Nanjing University of Science and Technology, Nanjing 210094, ChinaThis paper investigates the problem of stabilization for semi-Markov chaotic systems with fuzzy sampled-data controllers, in which the semi-Markov jump has generally uncertain transition rates. The exponential stability condition is firstly obtained by the following two main techniques: To make full use of the information about the actual sampling pattern, a novel augmented input-delay-dependent Lyapunov–Krasovskii functional (LKF) is firstly introduced. Meanwhile, a new zero-value equation is established to increase the combinations of component vectors of the resulting vector. The corresponding fuzzy sampled-data controllers are designed based on the stability condition. Finally, the validity and merits of the developed theories are shown by two numerical examples.http://dx.doi.org/10.1155/2019/7875305 |
| spellingShingle | Tao Wu Jinde Cao Lianglin Xiong Haiyang Zhang New Stabilization Results for Semi-Markov Chaotic Systems with Fuzzy Sampled-Data Control Complexity |
| title | New Stabilization Results for Semi-Markov Chaotic Systems with Fuzzy Sampled-Data Control |
| title_full | New Stabilization Results for Semi-Markov Chaotic Systems with Fuzzy Sampled-Data Control |
| title_fullStr | New Stabilization Results for Semi-Markov Chaotic Systems with Fuzzy Sampled-Data Control |
| title_full_unstemmed | New Stabilization Results for Semi-Markov Chaotic Systems with Fuzzy Sampled-Data Control |
| title_short | New Stabilization Results for Semi-Markov Chaotic Systems with Fuzzy Sampled-Data Control |
| title_sort | new stabilization results for semi markov chaotic systems with fuzzy sampled data control |
| url | http://dx.doi.org/10.1155/2019/7875305 |
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