000 03172nam a22004455i 4500
001 978-0-387-27408-9
003 DE-He213
005 20250710083938.0
007 cr nn 008mamaa
008 100301s2005 xxu| s |||| 0|eng d
020 _a9780387274089
_a99780387274089
024 7 _a10.1007/b139040
_2doi
082 0 4 _a519
_223
100 1 _aKomornik, Vilmos.
_eauthor.
245 1 0 _aFourier Series in Control Theory
_h[recurso electrónico] /
_cby Vilmos Komornik, Paloa Loreti.
264 1 _aNew York, NY :
_bSpringer New York,
_c2005.
300 _aIX, 226 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Monographs in Mathematics,
_x1439-7382
505 0 _aObservation, Control, and Stabilization -- Well-Posedness in a Riesz Basis Setting -- Observability of Strings -- Observability of Beams -- Vector Sum Estimates -- Problems on Spherical Domains -- Multidimensional Ingham-Type Theorems -- A General Ingham-Type Theorem -- Problems with Weakened Gap Conditions.
520 _aAdvance Praise for Fourier Series in Control Theory: It has been known since 1967 that a wide variety of sets of complex exponential functions play an important role in the control theory of systems governed by partial differential equations. Up until now, the relevant literature has been scattered among various journal articles, a survey paper by myself in SIAM Review in 1978, and the book, Families of Exponentials, by S. Avdonin and S. Ivanov (1995). Fourier Series in Control Theory successfully gathers all of the available theory of these "nonharmonic Fourier series" in one place, combining published results with new results, to create a unique source of such material for practicing applied mathematicians, engineers, and other scientific professionals. - David Russell, Virginia Polytechnic Institute and State University This monograph will be of interest to experts and researchers, as well as graduate students in such courses as control series and harmonic analysis. Starting with an overview of the problems of observability, controllability, and stabilization of linear systems and their interconnections, the text contains complete proofs along with a short, simplified, presentation of some properties of Bessel functions for the convenience of the reader. Only basic knowledge of functional analysis is required.
650 0 _aMATHEMATICS.
650 0 _aSYSTEMS THEORY.
650 0 _aMATHEMATICAL OPTIMIZATION.
650 1 4 _aMATHEMATICS.
650 2 4 _aSYSTEMS THEORY, CONTROL.
650 2 4 _aCALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION.
700 1 _aLoreti, Paloa.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387223834
830 0 _aSpringer Monographs in Mathematics,
_x1439-7382
856 4 0 _uhttp://dx.doi.org/10.1007/b139040
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c56664
_d56664