Perturbation Analysis for the Complex Matrix Equation X - A^H *sqrt(X^(-1)) A=I

Authors:	Angelova Vera, IIT - BAS, Bulgaria Konstantinov Mihail, UACG, Bulgaria Petkov Petko, TU Sofia, Bulgaria Popchev Ivan, IIT - BAS, Bulgaria
Topic:	2.5 Robust Control
Session:	Robustness Analysis II
Keywords:	Perturbation analysis, Matrix equations

Abstract

Condition numbers, local and non-local perturbation bounds are obtained for the complex matrix equation X - A^H *sqrt(X^(-1)) A=I, which arises in a number of problems of linear control systems theory. The technique used is based on Lyapunov majorants and fixed point principles. An illustrative numerical example is given.