FOUNDATIONS OF THE POLYNOMIAL THEORY FOR LINEAR SYSTEMS

This paper briefly presents the fundamental facts of the polynomial systems theory as applied by Rosenbrock, Wolovich and others. The theory utilizes an operator algebra which is a natural generalization of the usual operational calculus based on the Laplace and Z-transforms. It is shown how this operator algebra can be used in an efficient way for solving a number of typical problems relating to the analysis and synthesis of linear time-invariant feedback systems and estimators.