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Applications of algebraic geometry to systems theory--Part I

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2 Author(s)
Hermann, R. ; Harvard Univ., Cambridge, MA, USA ; Martin, C.F.

-Basic theorems of algebraic geometry are applied to prove some pole-placement theorems, including an improved version of pole placement with output feedback. Examples are given which show the limitations of the algebro-geometric theorems and their potential value for systems theory. This paper and those to follow might contribute towards making the powerful theorems of modern algebraic geometry accessible and applicable to problems of engineering.

Published in:

Automatic Control, IEEE Transactions on  (Volume:22 ,  Issue: 1 )

Date of Publication:

Feb 1977

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