Polynomial and Rational Matrices Applications in Dynamical Systems Theory /

• Main Author: Kaczorek, Tadeusz (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2007.
• Series: Communications and Control Engineering,
• Subjects: Engineering.; System theory.; Applied mathematics.; Engineering mathematics.; Vibration.; Dynamical systems.; Dynamics.; Control engineering.; Robotics.; Mechatronics.; Electronic circuits.; Control, Robotics, Mechatronics.; Engineering, general.; Appl.Mathematics/Computational Methods of Engineering.; Systems Theory, Control.; Vibration, Dynamical Systems, Control.; Circuits and Systems.

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 t...

Table of Contents:

• Polynomial Matrices
• Rational Functions and Matrices
• Normal Matrices and Systems
• The Problem of Realization
• Singular and Cyclic Normal Systems
• Matrix Polynomial Equations, and Rational and Algebraic Matrix Equations
• The Realisation Problem and Perfect Observers of Singular Systems
• Positive Linear Systems with Delays.