Combination synchronisation of different kinds of spatiotemporal coupled systems with unknown parameters

Zhang Hao; Wang Xing-yuan; Lin Xiao-hui

Combination synchronisation of different kinds of spatiotemporal coupled systems with unknown parameters

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Author(s): Zhang Hao ¹ ; Wang Xing-yuan ¹ ; Lin Xiao-hui ¹
- Affiliations: 1: Faculty of Electronic Information Electrical Engineering, Dalian University of Technology, Dalian 116024, People's Republic of China
Source: Volume 8, Issue 7, 01 May 2014, p. 471 – 478
DOI: 10.1049/iet-cta.2013.0533 , Print ISSN 1751-8644, Online ISSN 1751-8652

Received 07/04/2013, Accepted 13/10/2013, Revised 09/10/2013, Published 18/03/2014

In this study, spatiotemporal coupled systems with different kinds of local dynamic behaviours are introduced and combination synchronisation in such systems is studied. Especially, complex spatiotemporal coupled system consists of real number part and imaginary number part, so it can be synchronised with two real number systems at the same time and synchronisation is asymmetrical. Based on the backstepping method, the authors design controllers (fewer than the number of variables) with parameters identification. Sliding mode controllers are designed according to the Lyapunov stability theory and the fractional stability theory. Simulation results show the robustness and effectiveness of the authors methods.

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Combination synchronisation of different kinds of spatiotemporal coupled systems with unknown parameters

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