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A state-space formulation for transient analysis of carbon nanotubes interconnects is presented. Peculiar features of carbon nanotubes related to electron transport are modeled in terms of per unit length parameters. The multiconductor transmission line is firstly approximated by a ladder network; its admittance matrix Y is expressed in terms of Chebyshev polynomials in a closed form. The knowledge of the roots of such rational representation makes possible to generate a compact state-space macromodel of the nanotube interconnect by selecting only the dominant poles. Numerical calculations, performed in both frequency and time domains, confirm that the proposed model can be used to model carbon nanotube interconnects as a building block of more complex systems.