Polynomial and Rational Matrices : Applications in Dynamical Systems Theory

Matrices are effective tools for the modelling and analysis of dynamical systems. Professor Kaczorek gives an overview of new results in the application of polynomial and rational matrices to continuous- and discrete-time systems. The book is self-contained, beginning with important basics such as the Cayley–Hamilton theorem and definitions and elementary operations of polynomial and rational matrices and moving on to cover such topics as: Normal matrices (including their realisation); rational and algebraic polynomial matrix equations / perfect observers for and realisation of linear systems; and / new results on positive linear discrete- and continuous-time systems with delays.