03182nam a22004575i 4500 978-0-387-27408-9 DE-He213 20260521091843.0 cr nn 008mamaa 100301s2005 xxu| s |||| 0|eng d 9780387274089 99780387274089 10.1007/b139040 doi CICY 519 23 Komornik, Vilmos. author. Fourier Series in Control Theory [recurso electrónico] / by Vilmos Komornik, Paloa Loreti. New York, NY : Springer New York, 2005. IX, 226 p. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda Springer Monographs in Mathematics, 1439-7382 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. 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. MATHEMATICS. SYSTEMS THEORY. MATHEMATICAL OPTIMIZATION. MATHEMATICS. SYSTEMS THEORY, CONTROL. CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION. Loreti, Paloa. author. SpringerLink (Online service) Springer eBooks Printed edition: 9780387223834 Springer Monographs in Mathematics, 1439-7382 http://dx.doi.org/10.1007/b139040 Ver el texto completo en las instalaciones del CICY ddc ER 32602 32602 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 519 2025-07-10 08:39:38 2025-07-10 ER