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Projective synchronization of a class of complex network based on high-order sliding mode control. (English) Zbl 1281.34092
Summary: Projective synchronization of a class of complex networks is investigated using second-order sliding mode control. The sliding surface and the control input are designed based on stability theory. The Burgers system with spatiotemporal chaotic behavior in the physics domain is taken as nodes to constitute the complex network, and the Fisher-Kolmogorov system is taken as the tracking target. The artificial simulation results show that the synchronization technique is effective.

MSC:
34D06 Synchronization of solutions to ordinary differential equations
34C28 Complex behavior and chaotic systems of ordinary differential equations
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