Upper summation and product bounds for solution eigenvalues of the Lyapunov matrix equation

Abstract

Upper bounds for summations including the trace, and for products including the determinant, of the eigenvalues of the solution of the continuous algebraic Lyapunov matrix equation are presented. The majority of the bounds are tighter than those in the literature, and some are new.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>