Title :
A note on the location of the roots of a polynomial
Author :
Yugeng Xi ; Schmidt, G.
Author_Institution :
Technical University of Munich, Munich, West Germany
fDate :
1/1/1985 12:00:00 AM
Abstract :
Two new theorems and two corollaries are presented which give sufficient conditions for a polynomial to have all its roots inside the unit circle. These results unify and extend certain earlier stability tests for discrete time systems. The significance of the new results is illustrated by a couple of examples.
Keywords :
Poles and zeros, linear systems; Stability, linear systems; Delay effects; Delay lines; Delay systems; Feedback; Linear systems; Modules (abstract algebra); Polynomials; Stability; Sufficient conditions; Testing;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1985.1103792