Dimension of N-ports

The recently introduced concept of the dimension of an algebraic port [1] is shown to be an invariant of the port. This property led to a unique classification of all linear algebraic n ports in terms of their dimensions. Contrary to common belief, it is shown that the representation port-current vectors. and is an vector, (Unless specified otherwise, all vectors are column vectors. A vector is written as . When is the composite of two vectors and , we write . In addition, we let 0 denote zero matrices of appropriate dimensions and , denote the identity matrix of order .) is not the most general form for characterizing a linear port. A generalization of (1) which covers all linear algebraic ports is presented.