In this paper, the distributed-order capacitor is discussed in both theoretical and physical ways. The distributed-order element networks are constructed by using the distributed-order capacitors and other electric elements. The impulse responses and the asymptotic properties of two typical distributed-order element networks are derived by using the complex path integral, in which all the results are verified by the NILT method. Based on the derived analytical impulse responses, we present a technique to perform the discretization of the above distributed-order element networks. A number of illustrated figures are presented to validate the concepts.

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