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

Authors:
A. V. Daneev;V. A. Rusanov;M. V. Rusanov
Affiliations:
Irkutsk State Technical University, Irkutsk, Russia;Institute for Systems Dynamics and Control Theory, Siberian Department of Russian Academy of Sciences, Irkutsk, Russia;Institute of Mathematics and Economy, Irkutsk State University, Irkutsk, Russia
Venue:
Cybernetics and Systems Analysis
Year:
2005

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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.