Control Theory for Partial Differential Equations: Volume 1, - Continuous and Approximation Theories

Klappentext First of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations, originally published in 2000. Zusammenfassung Originally published in 2000! this is the first volume of a comprehensive treatise on the mathematical theory of deterministic control systems modeled by multi-dimensional partial differential equations (distributed parameter systems). Volume 1 presents the abstract parabolic and hyperbolic settings! including many fascinating results. Inhaltsverzeichnis Introduction; Part I. Analytic Semigroups: 1. The optimal quadratic cost problem over a preassigned finite time interval: the differential Riccati equation; 2. The optimal quadratic cost problem over a preassigned finite time interval: the algebraic Riccati equation; 3. Illustrations of the abstract theory of chapters 1 and 2 to PDEs with boundary/point controls; 4. Numerical approximations of algebraic Riccati equations; 5. Illustrations of the numerical theory of chapter 4 to parabolic-like boundary/point control PDE problems; 6. Min-max game theory over an infinite time interval and algebraic Riccati equations.

Product details

• Authors: Irena Lasiecka, Irena (University of Virginia) Triggiani Lasiecka, Irena Triggiani Lasiecka, Roberto Triggiani
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 25.11.2010
• EAN: 9780521155670
• ISBN: 978-0-521-15567-0
• No. of pages: 672
• Series: Encyclopedia of Mathematics an
• Subject: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries