000 02814nam a22003618i 4500
001 CR9780511543197
003 UkCbUP
005 20200124160240.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090505s2005||||enk o ||1 0|eng|d
020 _a9780511543197 (ebook)
020 _z9780521825849 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA372
_b.S784 2005
082 0 0 _a003/.74
_222
100 1 _aStaffans, Olof J.,
_d1947-
_eauthor.
245 1 0 _aWell-posed linear systems /
_cOlof Staffans.
264 1 _aCambridge :
_bCambridge University Press,
_c2005.
300 _a1 online resource (xviii, 776 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aEncyclopedia of mathematics and its applications ;
_vvolume 103
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 _g1.
_tIntroduction and overview --
_g2.
_tBasic properties of well-posed linear systems --
_g3.
_tStrongly continuous semigroups --
_g4.
_tThe generators of a well-posed linear system --
_g5.
_tCompatible and regular systems --
_g6.
_tAnti-casual, dual, and inverted systems --
_g7.
_tFeedback --
_g8.
_tStabilization and detection --
_g9.
_tRealizations --
_g10.
_tAdmissibility --
_g11.
_tPassive and conservative scattering systems --
_g12.
_tDiscrete time systems --
_gApp. 1.
_tRegulated functions --
_gApp. 2.
_tThe positive square root and the polar decomposition --
_gApp. 3.
_tConvolutions --
_gApp. 4.
_tInversion of block matrices.
520 _aMany infinite-dimensional linear systems can be modelled in a Hilbert space setting. Others, such as those dealing with heat transfer or population dynamics, need to be set more generally in Banach spaces. This is the first book dealing with well-posed infinite-dimensional linear systems with an input, a state, and an output in a Hilbert or Banach space setting. It is also the first to describe the class of non-well-posed systems induced by system nodes. The author shows how standard finite-dimensional results from systems theory can be extended to these more general classes of systems, and complements them with new results which have no finite-dimensional counterpart. Much of the material presented is original, and many results have never appeared in book form before. A comprehensive bibliography rounds off this work which will be indispensable to all working in systems theory, operator theory, delay equations and partial differential equations.
650 0 _aLinear systems.
650 0 _aSystem theory.
776 0 8 _iPrint version:
_z9780521825849
830 0 _aEncyclopedia of mathematics and its applications ;
_vv. 103.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511543197
999 _c518415
_d518413