A Class of Exponential Outer Synchronization Between Uncertain Spatiotemporal Networks With Different Numbers of Nodes

RONG Tingting; GAO Yan; YAN Zhe

doi:10.21656/1000-0887.380230

Volume 39 Issue 2

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RONG Tingting, GAO Yan, YAN Zhe. A Class of Exponential Outer Synchronization Between Uncertain Spatiotemporal Networks With Different Numbers of Nodes[J]. Applied Mathematics and Mechanics, 2018, 39(2): 215-225. doi: 10.21656/1000-0887.380230

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A Class of Exponential Outer Synchronization Between Uncertain Spatiotemporal Networks With Different Numbers of Nodes

doi: 10.21656/1000-0887.380230

School of Physics and Electronic Technology, Liaoning Normal University, Dalian, Liaoning 116029, P.R.China

Received Date: 2017-07-20
Rev Recd Date: 2017-11-14
Publish Date: 2018-02-15

Abstract

Abstract

The problem of exponential outer synchronization between uncertain spatiotemporal networks with different numbers of nodes was studied. Firstly, based on the Lyapunov stability theorem, an appropriate controller was designed to realize exponential outer synchronization between uncertain spatiotemporal networks with different numbers of nodes. The adaptive law of the coupling matrix elements representing the topological structure of the network and the feedback strength was further identified. Finally, with the spatiotemporal network composed of the 1D Burgers system and the Logistic system as an example for numerical simulation. The results show that there exist stable external synchronization phenomena in the whole network. Furthermore, the synchronization speed depends on the adjustable parameters, and the number of network nodes does not affect the stability of the whole network synchronization. The proposed synchronization scheme has certain universality.
- exponential outer synchronization,
- spatiotemporal network,
- uncertain parameter,
- Lyapunov stability theorem

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References(33)

References

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