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Dual-stage adaptive finite-time modified function projective multi-lag combined synchronization for multiple uncertain chaotic systems
| Content Provider | Directory of Open Access Journals (DOAJ) |
|---|---|
| Author | Li Qiaoping Liu Sanyang |
| Abstract | In this paper, for multiple different chaotic systems with unknown bounded disturbances and fully unknown parameters, a more general synchronization method called modified function projective multi-lag combined synchronization is proposed. This new method covers almost all of the synchronization methods available. As an advantage of the new method, the drive system is a linear combination of multiple chaotic systems, which makes the signal hidden channels more abundant and the signal hidden methods more flexible. Based on the finite-time stability theory and the sliding mode variable structure control technique, a dual-stage adaptive variable structure control scheme is established to realize the finite-time synchronization and to tackle the parameters well. The detailed theoretical derivation and representative numerical simulation is put forward to demonstrate the correctness and effectiveness of the advanced scheme. |
| Related Links | https://doi.org/10.1515/math-2017-0087 |
| e-ISSN | 23915455 |
| DOI | 10.1515/math-2017-0087 |
| Journal | Open Mathematics |
| Issue Number | 1 |
| Volume Number | 15 |
| Language | English |
| Publisher | De Gruyter |
| Publisher Date | 2017-01-01 |
| Publisher Place | Poland |
| Access Restriction | Open |
| Subject Keyword | Mathematics Finite-time Adaptive Control Modified Function Projective Multi-lag Combined Synchronization Sliding Mode Variable Structure Control Chaotic Systems Unknown Parameter and Disturbance 93c10 |
| Content Type | Text |
| Resource Type | Article |