Matrices are effective tools for modelling and analysing dynamical systems. Professor Kaczorek reviews new results in the application of polynomial and rational matrices to continuous- and discrete-time systems. The book begins with important basics such as the CayleyHamilton theorem and elementary operations of polynomial and rational matrices and moves 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. The text concludes with an appendix describing definitions and theorems relevant to controllability and observability in linear systems. 'Polynomial and Rational Matrices' will be valuable to researchers in control and/or system theory and will provide useful reference material for graduates studying courses in electronic and computer engineering, mechatronics and electrical engineering.