From the reviews:
„It is an excellent book for polynomial and rational matrices and its applications in Dynamical Systems Theory, written by a well-known scientist in the field of control theory. The book can be used either as a reference for researchers in the field of control theory and circuit theory or for teaching for undergraduates or postgraduates in electrical engineering, electronics, mechatronics and computer engineering.“ (Nicholas Karampetakis, Zentralblatt MATH, Vol. 1114 (16), 2007)
„This book is an extended English version of its original Polish edition based on the author’s lectures to Ph. D. students of electrical engineering. … the book should be useful and accessible to a wide range of researchers and graduate students in applied mathematics, sciences, and engineering because of its thorough and clear presentations of proofs of lemmas and theorems with examples. The application part of the book includes detailed formulation and analysis of problems and step-by-step calculation of solutions to many linear control systems … .“ (Miaohua Jiang, SIAM Review, Vol. 51 (3), 2009)
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 Cayley–Hamilton 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.
