Title :
An elementary approach to the algebraic stability theorems
Author :
Curtin, Eugene ; Saba, Salim
Author_Institution :
Dept. of Math., Southwest Texas State Univ., San Marcos, TX, USA
fDate :
4/1/1996 12:00:00 AM
Abstract :
We prove that the mapping of a nonzero single variable polynomial to the minimum of the absolute values of its roots is continuous. We deduce a strengthened version of Huang´s Stability Theorem as an immediate consequence. We present an algorithm for testing for zeros of two-variable polynomials inside the unit bidisk based on our results
Keywords :
absolute stability; polynomials; Huang´s stability theorem; absolute values; algebraic stability theorems; nonzero single variable polynomial; two-variable polynomials; unit bidisk; Circuits; Convergence; Mathematics; Polynomials; Stability; Testing;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
