Introduction to infinite-dimensional systems theory : a state-space approach / Ruth Curtain, Hans Zwart.

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Introduction to infinite-dimensional systems theory : a state-space approach / Ruth Curtain, Hans Zwart.

9781071605905 (electronic book)
1071605909 (electronic book)
9781071605882
1071605887

New York, NY : Springer, 2020.

English

1 online resource (759 pages).

10.1007/978-1-0716-0

QA402

004.2/1

Infinite-dimensional systems is a well established area of research with an ever increasing number of applications. Given this trend, there is a need for an introductory text treating system and control theory for this class of systems in detail. This textbook is suitable for courses focusing on the various aspects of infinite-dimensional state space theory. This book is made accessible for mathematicians and post-graduate engineers with a minimal background in infinite-dimensional system theory. To this end, all the system theoretic concepts introduced throughout the text are illustrated by the same types of examples, namely, diffusion equations, wave and beam equations, delay equations and the new class of platoon-type systems. Other commonly met distributed and delay systems can be found in the exercise sections. Every chapter ends with such a section, containing about 30 exercises testing the theoretical concepts as well. An extensive account of the mathematical background assumed is contained in the appendix.

Includes bibliographical references and index.

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Description based on print version record.

Texts in applied mathematics ; 71.

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