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Mathematical Systems Theory I Modelling, State Space Analysis, Stability and Robustness by Diederich Hinrichsen

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Published by Springer .
Written in English

Subjects:

  • Cybernetics & systems theory,
  • Mathematics,
  • Science/Mathematics,
  • Applied,
  • Mathematics / Differential Equations,
  • linear systems,
  • modelling,
  • perturbation theory,
  • stability theory,
  • uncertain systems and robustness,
  • Mathematical Analysis

Book details:

The Physical Object
FormatHardcover
Number of Pages804
ID Numbers
Open LibraryOL9057906M
ISBN 103540441255
ISBN 109783540441250

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  Mathematical Systems Theory I: Modelling, State Space Analysis, Stability and Robustness (Texts in Applied Mathematics Book 48) - Kindle edition by Hinrichsen, Diederich, Pritchard, Anthony J.. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Mathematical Systems Theory I: Modelling, 5/5(2). The origins of this book go back more than twenty years when, funded by small grants from the European Union, the control theory groups from the universities of Bremen and Warwick set out to develop a course in?nite dimensional systems t- ory suitable for students with a mathematical background, who had taken courses in Analysis, Linear Algebra and Di?erential Equations. Mathematical Control Theory. Now online version available (click on link for pdf file, pages) (Please note: book is copyrighted by Springer-Verlag. Springer has kindly allowed me to place a copy on the web, as a reference and for ease of web searches. This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. It is devoted to the analysis of dynamical systems and combines features of a detailed introductory textbook with that of a reference source.

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The book is organized into six chapters and has an appendix that summarizes the main mathematical results, used to develop the proofs. Chapter 1 starts with a brief historical overview of adaptive control theory. It proceeds with an introduction to the main ideas of the ℒ 1 adaptive controller. Two equivalent architectures of model reference. A question relating to Garden-of-Eden states is clarified, and an example is given to illustrate a theorem from G. A. Hedlund [Mathematical Systems Theory 4, (; Zbl )] to the. The work in mathematical systems theory, much like that in general and living. Toward the end of his life, he wa s asked to review James Miller’s book. Living Systems. Chaos theory is a branch of mathematics focusing on the study of chaos—states of dynamical systems whose apparently random states of disorder and irregularities are often governed by deterministic laws that are highly sensitive to initial conditions. Chaos theory is an interdisciplinary theory stating that, within the apparent randomness of chaotic complex systems, there are underlying.