Irena Lasiecka, Roberto Triggiani

Control Theory for Partial Differential Equations

Volume 1, Abstract Parabolic Systems: Continuous and Approximation Theories

• Broschiertes Buch

Produktbeschreibung

First of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations, originally published in 2000.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 672
• Erscheinungstermin: 14. Oktober 2010
• Englisch
• Abmessung: 234mm x 156mm x 36mm
• Gewicht: 1004g
• ISBN-13: 9780521155670
• ISBN-10: 0521155673
• Artikelnr.: 31891665

Inhaltsangabe

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.