Polynomial and rational matrices : applications in dynamical systems theory
Author(s)
Bibliographic Information
Polynomial and rational matrices : applications in dynamical systems theory
(Communications and control engineering)
Springer, c2007
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Description and Table of Contents
Description
This book reviews new results in the application of polynomial and rational matrices to continuous- and discrete-time systems. It provides the reader with rigorous and in-depth mathematical analysis of the uses of polynomial and rational matrices in the study of dynamical systems. It also throws new light on the problems of positive realization, minimum-energy control, reachability, and asymptotic and robust stability.
Table of Contents
Polynomial Matrices.- Rational Functions and Matrices.- Normal Matrices and Systems.- The Problem of Realization.- Singular and Cyclic Normal Systems.- Matrix Polynomial Equations, and Rational and Algebraic Matrix Equations.- The Realisation Problem and Perfect Observers of Singular Systems.- Positive Linear Systems with Delays.
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