Control Theory for Partial Differential Equations

Volume 1, Abstract Parabolic Systems: Continuous and Approximation Theories
 Paperback
ISBN-13:
9780521155670
Veröffentl:
2010
Einband:
Paperback
Erscheinungsdatum:
14.10.2010
Seiten:
672
Autor:
Irena Lasiecka
Gewicht:
1004 g
Format:
234x156x36 mm
Sprache:
Englisch
Beschreibung:

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

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