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Polynomial and Rational Matrices

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Polynomial and Rational Matrices Synopsis

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.

About This Edition

ISBN: 9781846286049
Publication date:
Author: T Kaczorek
Publisher: Springer an imprint of Springer London
Format: Hardback
Pagination: 503 pages
Series: Communications and Control Engineering
Genres: Automatic control engineering
Cybernetics and systems theory
Engineering: Mechanics of solids
Electronics: circuits and components
Engineering: general
Maths for engineers

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