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Polynomial and Rational Matrices: Applications in Dynamical Systems Theory

Polynomial and Rational Matrices: Applications in Dynamical Systems Theory

Hardcover

Series: Communications and Control Engineering

Technology & EngineeringAlgebraGeneral Mathematics

ISBN10: 1846286042
ISBN13: 9781846286049
Publisher: Springer
Published: Dec 1 2006
Pages: 503
Weight: 1.96
Height: 1.35 Width: 6.42 Depth: 9.44
Language: English

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.

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