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The multiparameter 2 Â n LC complex impedance network is one of the difficult problems of the resistor network problem. In this study, the equivalent complex impedance problem of the four-parameter 2 Â n LC network model has been considered, where the network model contains four arbitrary L and C parameters. Our study involves four main steps: Firstly, a general difference equation model with current parameters has been established by utilizing Kirchhoff's law. Secondly, the general solution of the difference equation model has been obtained by matrix transformation. Thirdly, a matrix equation with boundary current parameters has been established, and the special solution of the boundary current has been obtained by substituting the general solution in the previous step. Finally, based on Ohm's law, the equivalent complex impedance formula has been obtained by using the special solution of the boundary current. The analysis of the derived equivalent complex impedances, Z ab (n) and Z ac (n), shows that they have different characteristics in different frequency ranges, and their variation is related to the mesh number n. The results of this study offer a theoretical basis for the related applied research.

a Based on the concept of generalized nonlinear system model tracking, the tracking problem is studied by using variable structure control method. In nonlinear system, based on the classification system, the design of generalized tracking system switching function S, makes the switching surface S=0, realize the model tracking, and the design of variable structure control law, realization of generalized nonlinear systems with sliding mode.

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