Title :
Applications of algebraic geometry to systems theory--Part I
Author :
Hermann, Robert ; Martin, Clyde F.
Author_Institution :
Harvard Univ., Cambridge, MA, USA
fDate :
2/1/1977 12:00:00 AM
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 :
Algebra; Geometry; Linear time-invariant (LTI) systems; Output feedback; Pole assignment; Rational functions; System theory; Controllability; Councils; Geometry; Helium; Mathematics; Output feedback; Physics; Power engineering and energy; Stability; State feedback;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1977.1101395