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Stability analysis of a three-dimensional energy demand-supply system under delayed feedback control

Kun-Yi YangLing-Li ZhangJie Zhang — 2015

Kybernetika

This paper considers a three-dimensional energy demand-supply system which typically demonstrates the relationship between the amount of energy supply and that of energy demand for the two regions in China. A delayed feedback controller is proposed to stabilize the system which was originally unstable even under some other controllers. The stability properties of the equilibrium points are subsequently analyzed and it is found that the Hopf bifurcation appears under some conditions. By using the...

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