Sandwich synchronization of memristor-based hyperchaos systems with time delays
Abstract In this paper, a memristor-based hyperchaotic system is introduced. Considering time delays between the drive system and the response system in the process of synchronization, this paper designs one kind of flexible sandwich controller, which includes a rest in the sandwich structure, to re...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-01-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1451-4 |
| _version_ | 1818067738945388544 |
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| author | Hongjuan Wu Jiang Xiong Xiang Hu Yuming Feng Liangliang Li |
| author_facet | Hongjuan Wu Jiang Xiong Xiang Hu Yuming Feng Liangliang Li |
| author_sort | Hongjuan Wu |
| collection | DOAJ |
| description | Abstract In this paper, a memristor-based hyperchaotic system is introduced. Considering time delays between the drive system and the response system in the process of synchronization, this paper designs one kind of flexible sandwich controller, which includes a rest in the sandwich structure, to realize the synchronization between two memristor-based hyperchaotic systems. Based on Lyapunov stability theory, matrix inequality, sandwich control and considering time delays, the exponential synchronization conditions for the memristor-based hyperchaotic systems with time delays via sandwich control are given. Finally, simulation results are displayed to verify the effectiveness and feasibility of this method. |
| first_indexed | 2024-12-10T15:28:28Z |
| format | Article |
| id | doaj.art-cd80568b16b748c5b4a0e60150bc4dbd |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-10T15:28:28Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-cd80568b16b748c5b4a0e60150bc4dbd2022-12-22T01:43:28ZengSpringerOpenAdvances in Difference Equations1687-18472018-01-012018111010.1186/s13662-017-1451-4Sandwich synchronization of memristor-based hyperchaos systems with time delaysHongjuan Wu0Jiang Xiong1Xiang Hu2Yuming Feng3Liangliang Li4School of Computer Science and Engineering, Chongqing Three Gorges UniversitySchool of Computer Science and Engineering, Chongqing Three Gorges UniversitySchool of Computer Science and Engineering, Chongqing Three Gorges UniversitySchool of Computer Science and Engineering, Chongqing Three Gorges UniversitySchool of Mathematics and Statistics, Chongqing Three Gorges UniversityAbstract In this paper, a memristor-based hyperchaotic system is introduced. Considering time delays between the drive system and the response system in the process of synchronization, this paper designs one kind of flexible sandwich controller, which includes a rest in the sandwich structure, to realize the synchronization between two memristor-based hyperchaotic systems. Based on Lyapunov stability theory, matrix inequality, sandwich control and considering time delays, the exponential synchronization conditions for the memristor-based hyperchaotic systems with time delays via sandwich control are given. Finally, simulation results are displayed to verify the effectiveness and feasibility of this method.http://link.springer.com/article/10.1186/s13662-017-1451-4memristor-basedhyperchaotic systemtime delayssynchronizationsandwich control |
| spellingShingle | Hongjuan Wu Jiang Xiong Xiang Hu Yuming Feng Liangliang Li Sandwich synchronization of memristor-based hyperchaos systems with time delays Advances in Difference Equations memristor-based hyperchaotic system time delays synchronization sandwich control |
| title | Sandwich synchronization of memristor-based hyperchaos systems with time delays |
| title_full | Sandwich synchronization of memristor-based hyperchaos systems with time delays |
| title_fullStr | Sandwich synchronization of memristor-based hyperchaos systems with time delays |
| title_full_unstemmed | Sandwich synchronization of memristor-based hyperchaos systems with time delays |
| title_short | Sandwich synchronization of memristor-based hyperchaos systems with time delays |
| title_sort | sandwich synchronization of memristor based hyperchaos systems with time delays |
| topic | memristor-based hyperchaotic system time delays synchronization sandwich control |
| url | http://link.springer.com/article/10.1186/s13662-017-1451-4 |
| work_keys_str_mv | AT hongjuanwu sandwichsynchronizationofmemristorbasedhyperchaossystemswithtimedelays AT jiangxiong sandwichsynchronizationofmemristorbasedhyperchaossystemswithtimedelays AT xianghu sandwichsynchronizationofmemristorbasedhyperchaossystemswithtimedelays AT yumingfeng sandwichsynchronizationofmemristorbasedhyperchaossystemswithtimedelays AT liangliangli sandwichsynchronizationofmemristorbasedhyperchaossystemswithtimedelays |