Applications of algebraic geometry to systems theory--Part I
- 1 February 1977
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 22 (1) , 19-25
- https://doi.org/10.1109/tac.1977.1101395
Abstract
-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.Keywords
This publication has 5 references indexed in Scilit:
- Pole assignment by gain output feedbackIEEE Transactions on Automatic Control, 1975
- On pole assignment in linear multivariable systems using output feedbackIEEE Transactions on Automatic Control, 1975
- Linear Algebraic GroupsPublished by Springer Nature ,1975
- Basic Algebraic GeometryPublished by Springer Nature ,1974
- Linear Multivariable ControlPublished by Springer Nature ,1974