Fourier Series in Control Theory

• Main Authors: Komornik, Vilmos (Author), Loreti, Paloa (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2005.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; System theory.; Calculus of variations.; Systems Theory, Control.; Calculus of Variations and Optimal Control; Optimization.

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...

Table of Contents:

• 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.