Research in Applied Mathematics Related to Mathematical System Theory.
Final rept. 1 May 75-18 Apr 77,
FLORIDA UNIV GAINESVILLE CENTER FOR MATHEMATICAL SYSTEM THEORY
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This report deals with research results obtained in the field of mathematical system theory. Special emphasis was given to the following areas 1 Linear system theory over a field parametrization of multi-input, multi-output systems and the geometric structure of classes of systems of constant dimension. 2 Linear systems over a ring development of the theory for very general classes of rings. 3 Nonlinear system theory basic properties of polynomial discrete-time systems and their realization theory. The present report is only a brief summary of findings, which are far too technical to be explained in a few pages. The results are being gradually published in the open literature. For details, refer to previous proposals andor to the publications listed in the references.
- Theoretical Mathematics