Abstract
The purpose of this talk is to present, in nontechnical language, an account of recent developments in mathematical system theory. They are related to the questions: What is a system? How can it be effectively described in mathematical terms? Is there a deductive way of passing from experiments to mathematical models? How much can be said about the internal structure of a system on the basis of experimental data? What is the minimal set of components from which a system with given characteristics can be built?
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References
Kalman, R. E.: Introduction to the algebraic theory of linear dynamical systems. Proceedings International Summer School on Mathematical System Theory and Economics, Varenna (Italy), June 1967 (To appear).
Kalman, R. E., P. L. Falb, and A. M. Arbib: Topics in Mathematical System Theory (book). McGraw-Hill 1969. London.
Kalman, R. E.: On the realization of multilinear machines. (To appear).
Kalman, R. E.: New developments in system theory relevant to biology, Third Systems Symposium Case Institute of Technology, October 1966 (to appear).
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© 1968 Springer-Verlag Berlin · Heidelberg
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Kalman, R.E. (1968). On the Mathematics of Model Building. In: Caianiello, E.R. (eds) Neural Networks. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87596-0_15
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DOI: https://doi.org/10.1007/978-3-642-87596-0_15
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