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Fourier series in control theory

Fourier series in control theory

자료유형
단행본
개인저자
Komornik, V. Loreti, Paola.
서명 / 저자사항
Fourier series in control theory / Vilmos Komornik, Paola Loreti.
발행사항
New York :   Springer ,   c2005.  
형태사항
ix, 226 p. ; 25 cm.
총서사항
Springer monographs in mathematics
ISBN
0387223835 (alk. paper)
서지주기
Includes bibliographical references (p. [217]-223) and index.
일반주제명
Control theory. Fourier series.
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008 040804s2005 nyu b 001 0 eng
010 ▼a 2004056525
020 ▼a 0387223835 (alk. paper)
035 ▼a (KERIS)REF000010688935
040 ▼a DLC ▼c DLC ▼d DLC ▼d 211009
042 ▼a pcc
050 0 0 ▼a QA402.3 ▼b .K5785 2005
082 0 0 ▼a 003/.5 ▼2 22
090 ▼a 003.5 ▼b K81f
100 1 ▼a Komornik, V.
245 1 0 ▼a Fourier series in control theory / ▼c Vilmos Komornik, Paola Loreti.
260 ▼a New York : ▼b Springer , ▼c c2005.
300 ▼a ix, 226 p. ; ▼c 25 cm.
440 0 ▼a Springer monographs in mathematics
504 ▼a Includes bibliographical references (p. [217]-223) and index.
650 0 ▼a Control theory.
650 0 ▼a Fourier series.
700 1 ▼a Loreti, Paola.
945 ▼a KINS

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 과학도서관/Sci-Info(2층서고)/ 청구기호 003.5 K81f 등록번호 121120636 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

책소개

This book is the first serious attempt to gather all of the available theory of  "nonharmonic Fourier series" in one place, combining published results with new results by the authors.

 



New feature

Advance 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.




정보제공 : Aladin

목차

Observation, 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.


정보제공 : Aladin

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