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

List of contents

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: I. Lasiecka, Irena Lasiecka, Irena (University of Virginia) Lasiecka, Roberto Triggiani, Roberto (University of Virginia) Triggiani
• Publisher: Cambridge University Press
• Languages: English
• Product format: Hardback
• Released: 01.11.2010
• EAN: 9780521434089
• ISBN: 978-0-521-43408-9
• No. of pages: 672
• Dimensions: 161 mm x 240 mm x 40 mm
• Weight: 1162 g
• Series: Encyclopedia of Mathematics and Its Applications
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Analysis