Title :
Characterizing polynomials with roots in a semi-algebraic set
Author :
Lasserre, Jean B.
Author_Institution :
LAAS, CNRS, Toulouse, France
Abstract :
Let p ε R[x] be a real-valued polynomial and S ⊂ C a semi-algebraic set defined by polynomial inequalities gk(z, z~)≥0 for some polynomials gk in C[z, z~]. We provide a necessary and sufficient condition on the coefficients of p for all the zeros of p to be in S.
Keywords :
linear matrix inequalities; poles and zeros; polynomials; root loci; set theory; LMI; linear matrix inequalities; necessary condition; polynomial characteristics; polynomial inequalities; real valued polynomial; root loci; semialgebraic set; sufficient condition; zeros; Eigenvalues and eigenfunctions; Kalman filters; Polynomials; Sufficient conditions;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1271686
