Analysis of Switching Network Based on Fourth-Order Chua's Circuit with a Memristor

Fourth-order Chua’s circuit based on a memristor is investigated in this paper. Based on the physical properties of memristor, the mathematical model of fourth-order Chua’s circuit is obtained by Kirchhoff laws. Then some verifiable stability conditions are constructed for the circuit by applying the Lyapunov method. Furthermore, due to the segmentation characteristics of the memristor, the existence theory of Filippov solutions is also discussed in this paper. Finally, the simulation of the system is presented to demonstrate the effectiveness of the theoretical results.

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