Sliding mode synchronization between uncertain Watts-Strogatz small-world spatiotemporal networks

Shuang LIU, Runze ZHANG, Qingyun WANG, Xiaoyan HE

doi:10.1007/s10483-020-2686-6

Applied Mathematics and Mechanics >

2020 , Vol. 41 >Issue 12: 1833 - 1846

DOI: https://doi.org/10.1007/s10483-020-2686-6

Articles

Sliding mode synchronization between uncertain Watts-Strogatz small-world spatiotemporal networks

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1. Shanghai Engineering Research Center of Physical Vapor Deposition Superhard Coating and Equipment, Shanghai Institute of Technology, Shanghai 201418, China;
2. Department of Dynamics and Control, Beihang University, Beijing 100191, China;
3. Department of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Huhhot 010070, China

Received date: 2020-06-29

Revised date: 2020-08-12

Online published: 2020-11-21

Supported by

Project supported by the National Natural Science Foundation of China (Nos. 11602146, 11872304, and 11962019), the Science Foundation of Shanghai (No. 18ZR1438200), and the Chen Guang Project supported by Shanghai Municipal Education Commission and Shanghai Education Development Foundation (No. 16CG65)

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Abstract

Based on the topological characteristics of small-world networks, a nonlinear sliding mode controller is designed to minimize the effects of internal parameter uncertainties. To qualify the effects of uncertain parameters in the response networks, some effective recognition rates are designed so as to achieve a steady value in the extremely fast simulation time period. Meanwhile, the Fisher-Kolmogorov and Burgers spatiotemporal chaotic systems are selected as the network nodes for constructing a drive and a response network, respectively. The simulation results confirm that the developed sliding mode could realize the effective synchronization problem between the spatiotemporal networks, and the outer synchronization is still achieved timely even when the connection probability of the small-world networks changes.

Key words： synchronization; sliding mode control; small-world network; parameter identification

Cite this article

Shuang LIU, Runze ZHANG, Qingyun WANG, Xiaoyan HE . Sliding mode synchronization between uncertain Watts-Strogatz small-world spatiotemporal networks[J]. Applied Mathematics and Mechanics, 2020 , 41(12) : 1833 -1846 . DOI: 10.1007/s10483-020-2686-6

References

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