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Catalogue Information
Field name	Details
Dewey Class	519
Title	Introduction to Infinite-Dimensional Systems Theory ([EBook]) : A State-Space Approach / by Ruth Curtain, Hans Zwart.
Author	Curtain, Ruth
Added Personal Name	Zwart, Hans
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2020.(revised ed.)
Publication	New York, NY : Springer New York , 2020.
Physical Details	XII, 752 pages: 37 illus. : online resource.
Series	Texts in applied mathematics 0939-2475 ; ; 71
ISBN	9781071605905
Summary Note	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.:
Contents note	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.
Mode of acces to digital resource	Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-1-0716-0590-5
Links to Related Works	Subject References: Control and Systems Theory . Control engineering . System theory . Systems Theory, Control . Authors: author . Curtain, Ruth . Zwart, Hans . Corporate Authors: SpringerLink (Online service) . Series: Texts in applied mathematics . Classification: 519 . 519 (DDC 23) .

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Introduction to Infinite-Dimensional Systems Theory: A State-Space Approach

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