Beschreibung:
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 problem of stability, and the relationship between fulfillment of the condition and stability.
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.