Multivariable root-loci and the inverse transfer-function matrix

A STABLE COUPLED NEWTON'S ITERATION FOR THE MATRIX INVERSE $P$-TH ROOT

The computation of the inverse roots of matrices arises in evaluating non-symmetriceigenvalue problems, solving nonlinear matrix equations, computing some matrixfunctions, control theory and several other areas of applications. It is possible toapproximate the matrix inverse pth roots by exploiting a specialized version of New-ton's method, but previous researchers have mentioned that some iter...

High-order multivariable transfer function curve fitting: Algorithms, sparse matrix methods and experimental results

This paper develops a computational approach to multivariablc frequency domain curve fitting, based on 2-norm minimization, The algorithm is specifically tailored to the identification of complex systems having a large number of parameters, and incluclcs a sparse matrix method for reducing computation and memory requirements on large problems. The algorithm is also well-suited for identificatio...

An Approximation for the Inverse Square Root Function

a stable coupled newton's iteration for the matrix inverse $p$-th root

the computation of the inverse roots of matrices arises in evaluating non-symmetriceigenvalue problems, solving nonlinear matrix equations, computing some matrixfunctions, control theory and several other areas of applications. it is possible toapproximate the matrix inverse pth roots by exploiting a specialized version of new-ton's method, but previous researchers have mentioned that some...

Matrix Equations in Multivariable Control

The contribution is focused on a control design and simulation of multi input output (MIMO) linear continuous-time systems. Suitable and efficient tools for description and controller derivation are algebraic notions as rings, polynomial matrices, and Diophantine equations. The generalized MIMO PI controller design is studied for stable and unstable systems. A unified approach through matrix Di...