02419nmm a2200325 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100001800139245013400157250001700291260004800308300004200356505032000398653003100718653001900749653002800768653001800796653002400814700002600838041001900864989003600883490003300919028003000952856007200982082000601054520103301060EB001895970EBX0100000000000000105897600000000000000.0cr|||||||||||||||||||||200506 ||| eng a97810716059051 aCurtain, Ruth00aIntroduction to Infinite-Dimensional Systems TheoryhElektronische RessourcebA State-Space Approachcby Ruth Curtain, Hans Zwart a1st ed. 2020 aNew York, NYbSpringer New Yorkc2020, 2020 aXII, 752 p. 37 illusbonline resource0 aIntroduction -- 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 aControl and Systems Theory aControl theory aSystems Theory, Control aSystem theory aControl engineering1 aZwart, Hanse[author]07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005-0 aTexts in Applied Mathematics50a10.1007/978-1-0716-0590-540uhttps://doi.org/10.1007/978-1-0716-0590-5?nosfx=yxVerlag3Volltext0 a3 aInfinite-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