From Kalman—Mesarovic realization to a normal-hyperbolic linear model

Abstract

The principles of the methodology are formulated, which underlie the procedures of the Kalman--Mesarovic realization for dynamic systems with state equations in the class of autonomous linear differential equations in the normalized Frechet space. In this connection, the key approaches to the solution of classical problems of realization theory regarding linear dissipation models of normal-hyperbolic type are interpreted.