|
| Título : |
Fourier Series in Control Theory |
| Tipo de documento: |
documento electrónico |
| Autores: |
Komornik, Vilmos ; SpringerLink (Online service) ; Loreti, Paloa |
| Editorial: |
New York, NY : Springer New York |
| Fecha de publicación: |
2005 |
| Colección: |
Springer Monographs in Mathematics, ISSN 1439-7382 |
| Número de páginas: |
IX, 226 p. 29 illus |
| Il.: |
online resource |
| ISBN/ISSN/DL: |
978-0-387-27408-9 |
| Idioma : |
Inglés (eng) |
| Palabras clave: |
Mathematics System theory Calculus of variations Systems Theory, Control Variations and Optimal Control; Optimization |
| Clasificación: |
51 Matemáticas |
| Resumen: |
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 |
| Nota de contenido: |
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 |
| En línea: |
http://dx.doi.org/10.1007/b139040 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35117 |
Fourier Series in Control Theory [documento electrónico] / Komornik, Vilmos ; SpringerLink (Online service) ; Loreti, Paloa . - New York, NY : Springer New York, 2005 . - IX, 226 p. 29 illus : online resource. - ( Springer Monographs in Mathematics, ISSN 1439-7382) . ISBN : 978-0-387-27408-9 Idioma : Inglés ( eng)
| Palabras clave: |
Mathematics System theory Calculus of variations Systems Theory, Control Variations and Optimal Control; Optimization |
| Clasificación: |
51 Matemáticas |
| Resumen: |
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 |
| Nota de contenido: |
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 |
| En línea: |
http://dx.doi.org/10.1007/b139040 |
| Link: |
https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35117 |
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