Mathematical Control Theory of Coupled PDEs (CBMS-NSF Regional Conference Series in Applied Mathematics): 75 (CBMS-NSF Regional Conference Series in Applied Mathematics, Series Number 75) - Softcover

Lasiecka, Irena

Softcover

ISBN 10: 0898714869 ISBN 13: 9780898714869

Publisher: Society for Industrial and Applied Mathematics, 1987

Synopsis

Mathematical control theory for a single partial differential equation (PDE) has dominated the research literature for quite a while: new, complex, and challenging issues have recently arisen in the context of coupled, or interconnected, PDE systems. This has led to a rapidly growing interest, and many unanswered questions, within the PDE community. By concentrating on systems of hyperbolic and parabolic coupled PDEs that are nonlinear, Mathematical Control Theory of Coupled PDEs seeks to provide a mathematical theory for the solution of three main problems: well-posedness and regularity of the controlled dynamics; stabilization and stability; and optimal control for both finite and infinite horizon problems along with existence/uniqueness issues of the associated Riccati equations.

About this title

Book Description

Seeks to provide a mathematical theory for the solution of three main problems: well-posedness and regularity of the controlled dynamics; stabilization and stability; and optimal control for both finite and infinite horizon problems along with existence/uniqueness issues of the associated Riccati equations.

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 1987
• Language: English
• ISBN 10: 0898714869
• ISBN 13: 9780898714869
• Binding: Paperback
• Number of pages: 254