A new approach to synthesis problems in linear system theory
A.C. Antoulas · IEEE Transactions on Automatic Control · 1985
We consider a rational nonlinear equation which is involved in the general synthesis (design) problem of linear multivariable systems. The complete solution of this equation, subject to causality, stability, and minimality constraints, is provided. Formal power series and, in particular, the theory of partial realizations, prove of central importance for the design problem.