Polynomial and Rational Matrices: Applications in Dynamical Systems Theory (Communications and Control Engineering)

Description

Publisher: Springer; 1 edition
Language: English
ISBN: 1846286042
Paperback: 504 pages
Data: December 19, 2006
Format: PDF
Description: 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 CayleyHamilton 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.

The text is rounded off with an appendix describing fundamental 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.

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