Optimality conditions for truncated Kautz networks with two periodically repeating complex conjugate poles

Presents optimality conditions for the approximation of a SISO system by a truncated Kautz network with two repeating complex conjugate poles. Both the continuous and the discrete time cases are discussed. The author approaches the problem in a system approximation framework, and he does not assume that the input signal is white (or an impulse). The results obtained generalize the results already known for truncated Laguerre networks.<>