Minimum Time Synchronization of Chaotic Systems via Numerical Optimal Control Techniques
Chaos synchronization has attracted much attention in recent decades since it has not only brought theoretical challenges but also could be applied to many real-world applications, such as digital communication, complex networks, and semiconductor lasers communication systems. We consider the minimu...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Book Chapter |
| Published: |
Springer Verlag
2014
|
| Online Access: | http://hdl.handle.net/20.500.11937/40498 |
| _version_ | 1848755887452192768 |
|---|---|
| author | Xu, Honglei Zhou, Guanglu Caccetta, Louis |
| author2 | Honglei Xu |
| author_facet | Honglei Xu Xu, Honglei Zhou, Guanglu Caccetta, Louis |
| author_sort | Xu, Honglei |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Chaos synchronization has attracted much attention in recent decades since it has not only brought theoretical challenges but also could be applied to many real-world applications, such as digital communication, complex networks, and semiconductor lasers communication systems. We consider the minimum time problem of chaos synchronization via optimal control computation. The general synchronization scheme consists of identical/non-identical drive and response chaotic systems. We propose a novel computational approach to compute the minimum synchronization time of the drive-response chaotic systems and the corresponding optimal controls in a finite time horizon. By the control parametrization technique, the minimum-time chaos synchronization problem is transformed to an optimal parameter selection problem in two stages. A computational synchronization algorithm is hence devised to compute the minimum synchronization time and the optimal controls. For illustration, an exemplary scheme of Lorenz–Rossler chaotic systems is given to demonstrate the effectiveness of the proposed algorithm. |
| first_indexed | 2025-11-14T09:03:27Z |
| format | Book Chapter |
| id | curtin-20.500.11937-40498 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:03:27Z |
| publishDate | 2014 |
| publisher | Springer Verlag |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-404982023-02-27T07:34:25Z Minimum Time Synchronization of Chaotic Systems via Numerical Optimal Control Techniques Xu, Honglei Zhou, Guanglu Caccetta, Louis Honglei Xu Kok Lay Teo Yi Zhang Chaos synchronization has attracted much attention in recent decades since it has not only brought theoretical challenges but also could be applied to many real-world applications, such as digital communication, complex networks, and semiconductor lasers communication systems. We consider the minimum time problem of chaos synchronization via optimal control computation. The general synchronization scheme consists of identical/non-identical drive and response chaotic systems. We propose a novel computational approach to compute the minimum synchronization time of the drive-response chaotic systems and the corresponding optimal controls in a finite time horizon. By the control parametrization technique, the minimum-time chaos synchronization problem is transformed to an optimal parameter selection problem in two stages. A computational synchronization algorithm is hence devised to compute the minimum synchronization time and the optimal controls. For illustration, an exemplary scheme of Lorenz–Rossler chaotic systems is given to demonstrate the effectiveness of the proposed algorithm. 2014 Book Chapter http://hdl.handle.net/20.500.11937/40498 10.1007/978-3-662-43404-8_8 Springer Verlag restricted |
| spellingShingle | Xu, Honglei Zhou, Guanglu Caccetta, Louis Minimum Time Synchronization of Chaotic Systems via Numerical Optimal Control Techniques |
| title | Minimum Time Synchronization of Chaotic Systems via Numerical Optimal Control Techniques |
| title_full | Minimum Time Synchronization of Chaotic Systems via Numerical Optimal Control Techniques |
| title_fullStr | Minimum Time Synchronization of Chaotic Systems via Numerical Optimal Control Techniques |
| title_full_unstemmed | Minimum Time Synchronization of Chaotic Systems via Numerical Optimal Control Techniques |
| title_short | Minimum Time Synchronization of Chaotic Systems via Numerical Optimal Control Techniques |
| title_sort | minimum time synchronization of chaotic systems via numerical optimal control techniques |
| url | http://hdl.handle.net/20.500.11937/40498 |