Examination of the eigenvalues of ideal SC circuits based on state equation approach

It is known that for analog time invariant active or passive RC filters the order of the filter cannot be higher than the number of capacitors denoted by c. For proper systems c cannot be greater than the maximal number of linearly independent nodal equations denoted by N. In an SC circuit c is usually greater than N, and the transfer function and stability properties depend on a matrix denoted by Q of dimension cxc. The poles of the SC network are the eigenvalues of Q, so it is reasonable to examine whether one can reach higher order transfer functions than N. This paper shows that Q always has as many zero eigenvalues as the minimal value of N of the different phases and they do not have any influence on either the stability properties or the order of the transfer functions