Time-Variant and Quasi-separable Systems: Matrix Theory, Recursions and Computations
Patrick Dewilde, Technische Universität München;
Klaus Diepold, Technische Universität München;
Alle-Jan Van der Veen, Technische Universiteit Delft, The Netherlands
Cambridge University Press, 2024
ISBN: 9781009455626;
Language: English
Matrix theory is the lingua franca of everyone who deals with dynamically evolving systems, and familiarity with efficient matrix computations is an essential part of the modern curriculum in dynamical systems and associated computation. This is a master's-level textbook on dynamical systems and computational matrix algebra. It is based on the remarkable identity of these two disciplines in the context of linear, time-variant, discrete-time systems and their algebraic equivalent, quasi-separable systems. The authors' approach provides a single, transparent framework that yields simple derivations of basic notions, as well as new and fundamental results such as constrained model reduction, matrix interpolation theory and scattering theory. Time-Variant and Quasi-seperable Systems outlines all the fundamental concepts that allow readers to develop the resulting recursive computational schemes needed to solve practical problems. An ideal treatment for graduate students and academics in electrical and computer engineering, computer science and applied mathematics.
- The new method adheres to classical system- and matrix-theory traditions but applies them in a transparent and appealing way
- Focuses on elementary matrix algebra and presents this in the most effective way
- Connects linear dynamical systems and matrix algebra to allow readers to explore the methods using available software tools
In addition, a supplemental set of MATLAB code files is available for download.
