000 01958nam a22003135i 4500
001 91571
005 20240308115014.0
010 _a978-1-0716-0590-5
_dcompra
090 _a91571
100 _a20231023d2020 k||y0pory50 ba
101 0 _aeng
102 _aUS
_bNew York
200 1 _aIntroduction to infinite-dimensional systems theory
_bDocumento eletrĂ³nico
_ea state-space approach
_fRuth Curtain, Hans Zwart
210 _aNew York, NY
_cSpringer New York
_d2020
215 _aXII, 752 p.
_cil.
225 2 _aTexts in Applied Mathematics
_vvol. 71
303 _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.
606 _aSystem theory
606 _aControl theory
606 _aControl engineering
680 _aQ295
680 _aQA402.3-402.37
700 _972626
_aCurtain
_bRuth
701 _972627
_aZwart
_bHans
_4070
801 0 _aPT
_gRPC
856 4 _uhttps://doi.org/10.1007/978-1-0716-0590-5
942 _2lcc
_cF
_n0