£76.00

Optimal Control of Partial Differential Equations: Theory, Methods and Applications (Graduate Studies in Mathematics)

Applied Mathematics

Price data last checked 68 day(s) ago - refreshing...

View at Amazon

Price History & Forecast

Last 23 days • 23 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 23 days • 2 price levels

Days at Price

Current Price

Price Analysis

Most common price: £63 (14 days, 60.9%)

Price range: £63 - £76

Price levels: 2 different prices over 23 days

Description

Optimal control theory is concerned with finding control functions that minimize cost functions for systems described by differential equations. The methods have found widespread applications in aeronautics, mechanical engineering, the life sciences, and many other disciplines. This book focuses on optimal control problems where the state equation is an elliptic or parabolic partial differential equation. Included are topics such as the existence of optimal solutions, necessary optimality conditions and adjoint equations, second-order sufficient conditions, and main principles of selected numerical techniques. It also contains a survey on the Karush-Kuhn-Tucker theory of nonlinear programming in Banach spaces. The exposition begins with control problems with linear equations, quadratic cost functions and control constraints. To make the book self-contained, basic facts on weak solutions of elliptic and parabolic equations are introduced. Principles of functional analysis are introduced and explained as they are needed. Many simple examples illustrate the theory and its hidden difficulties. This start to the book makes it fairly self-contained and suitable for advanced undergraduates or beginning graduate students. Advanced control problems for nonlinear partial differential equations are also discussed. As prerequisites, results on boundedness and continuity of solutions to semilinear elliptic and parabolic equations are addressed. These topics are not yet readily available in books on PDEs, making the exposition also interesting for researchers. Alongside the main theme of the analysis of problems of optimal control, Troltzsch also discusses numerical techniques. The exposition is confined to brief introductions into the basic ideas in order to give the reader an impression of how the theory can be realized numerically. After reading this book, the reader will be familiar with the main principles of the numerical analysis of PDE-constrained optimization.

Product Specifications

Format: paperback
ASIN: 1470476444
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Applied Mathematics
Domain: Amazon UK
Release Date: 28 February 2010
Listed Since: 18 December 2023

Barcode

No barcode data available

Optimal Control of Partial Differential Equations: Theory, Methods and Applications (Graduate Studies in Mathematics)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Optimal Control of Partial Differential Equations: Theory, Methods and Applications (Graduate Studies in Mathematics)

Optimal Control of Partial Differential Equations: Analysis, Approximation, and Applications: 207 (Applied Mathematical Sciences, 207)

Birkhauser Optimal Control of Coupled Systems of PDEs - Vol 158

Optimal Control of Partial Differential Equations II: Theory and Applications: Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, ... Series of Numerical Mathematics, 78)

Infinite Dimensional Linear Control Systems: The Time Optimal and Norm Optimal Problems (North-Holland Mathematics Studies): Volume 201

Control and Optimization with PDE Constraints: 164 (International Series of Numerical Mathematics, 164)

Constrained Optimization and Optimal Control for Partial Differential Equations: 160 (International Series of Numerical Mathematics, 160)

Functional Analysis, Calculus of Variations and Optimal Control: 264 (Graduate Texts in Mathematics, 264)

Optimal Control Theory: The Variational Method

The Dynamics of Control (Systems & Control: Foundations & Applications)

An Introduction to Optimal Control Theory: The Dynamic Programming Approach: 76 (Texts in Applied Mathematics, 76)

Controllability and Stabilization of Parabolic Equations: 90 (Progress in Nonlinear Differential Equations and Their Applications, 90)

Optimization with PDE Constraints: 23 (Mathematical Modelling: Theory and Applications, 23)

Variational Techniques for Elliptic Partial Differential Equations: Theoretical Tools and Advanced Applications

Birkhauser Optimization in Elliptic Problems - Vol 119

Calculus of Variations and Optimal Control Theory: A Concise Introduction

Springer Optimization of Elliptic Systems: Theory and Applications

Adaptive Dynamic Programming for Control: Algorithms and Stability (Communications and Control Engineering)

Stochastic Linear-Quadratic Optimal Control Theory: Differential Games and Mean-Field Problems (SpringerBriefs in Mathematics)

Nonlinear Analysis and Optimization II (Contemporary Mathematics)

Academic Press - Introduction to Linear Control Systems Textbook

The Koopman Operator in Systems and Control: Concepts, Methodologies, and Applications: 484 (Lecture Notes in Control and Information Sciences, 484)

Control Theory of Partial Differential Equations (Lecture Notes in Pure and Applied Mathematics)

Nonlinear Analysis, Differential Equations, and Applications: 173 (Springer Optimization and Its Applications, 173)