Control of Wave and Beam PDEs The Riesz Basis Approach /

• Main Authors: Guo, Bao-Zhu (Author, http://id.loc.gov/vocabulary/relators/aut), Wang, Jun-Min (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Communications and Control Engineering,
• Subjects: Control engineering.; Partial differential equations.; System theory.; Control and Systems Theory.; Partial Differential Equations.; Systems Theory, Control.

Control of Wave and Beam PDEs is a concise, self-contained introduction to Riesz bases in Hilbert space and their applications to control systems described by partial differential equations (PDEs). The authors discuss classes of systems that satisfy the spectral determined growth condition, the prob...

Table of Contents:

• Chapter 1. Preliminaries
• Chapter 2. Bases in Hilbert spaces
• Chapter 3. Riesz basis generation: comparison method
• Chapter 4. Riesz basis generation: dual basis approach
• Chapter 5. Riesz basis generation: Green function approach
• Chapter 6. Stabilization of coupled systems.