---

＜電子ブック＞
Introduction to Infinite-Dimensional Systems Theory : A State-Space Approach / by Ruth Curtain, Hans Zwart
(Texts in Applied Mathematics. ISSN:21969949 ; 71)

版	1st ed. 2020.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2020
本文言語	英語
大きさ	XII, 752 p. 37 illus : online resource
著者標目	*Curtain, Ruth author Zwart, Hans author SpringerLink (Online service)
件　名	LCSH:System theory LCSH:Control theory LCSH:Control engineering FREE:Systems Theory, Control FREE:Control and Systems Theory
一般注記	Introduction -- Semigroup Theory -- Classes of Semigroups -- Stability -- The Cauchy Problem -- State Linear Systems -- Input-Output Maps -- Stabilizability and Detectability -- Linear Quadratic Optimal Control -- Boundary Control Systems -- Existence and Stability for Semilinear Differential Equations -- Appendix 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 HTTP:URL=https://doi.org/10.1007/978-1-0716-0590-5

 類似資料