Title :
Root clustering of a complex matrix in an algebraic region
Author_Institution :
Technion-Israel Institute of Technology, Haifa, Israel
fDate :
8/1/1979 12:00:00 AM
Abstract :
Necessary and sufficient conditions are given for the eigenvalues of a complex matrix to lie in an algebraic region of the complex plane. These conditions are in terms of rational functions of the matrix coefficients, and are given either by Kronecker product matrices or by positive definite matrices. Finally, we remark on recent results concerning root clustering in a sector.
Keywords :
Eigenvalues; Matrices; Polynomials; Computational modeling; Decision making; Differential equations; Eigenvalues and eigenfunctions; Polynomials; Stability; Stochastic systems; Sufficient conditions; Symmetric matrices; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1979.1102109
