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Systematic Discretization of Input/Output Maps

Name: Systematic Discretization of Input/Output Maps
Brand: VDM Verlag Dr. Mueller E.K.
SKU: 9783836487337
Price: 20540 HUF
Availability: InStock

and Other Contributions to the Control of Distributed Parameter Systems with a Focus on Fluid Control

Szerző: Michael Schmidt

Nyelv:

Kötés: Puha kötésű

Kiadó: VDM Verlag Dr. Mueller E.K.

Elérhetőség: Kiadói készleten rendelésre

Küldés 17-27 napon belül

20 540 Ft

The control of physical systems which are described by partial differential equations is a very acti...

Információk a könyvről

Szerző

Michael Schmidt

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2008

oldal

160

EAN

9783836487337

ISBN

3836487330

Enbook ID

07086616

Kiadó

VDM Verlag Dr. Mueller E.K.

Súly

222

Méretek

152 x 229 x 9

Teljes leírás

The control of physical systems which are described by partial differential equations is a very active research field in the intersection of many engineering disciplines and natural sciences, not least mathematics. This book aims to make several contributions to this field with a focus on fluid control.§§As core of this book a new method for the reduction of the complexity of linear instationary systems with distributed parameters is proposed. Motivated by the idea, that the input/output map of a system contains the crucial information for controlling the system, the i/o map of the infinite-dimensional system is directly discretized in space and time. This discretization can then be represented by means of an i/o matrix, which is especially suited for the fast approximate solution of optimization problems. Analytical error estimates are established, and numerical examples are shown for the heat equation and for the Stokes equations.§§Moreover, this book deals with the controllability of so-called Couette flows, with some aspects of adaptive finite element discretizations and with i/o software interfaces for CFD codes. The control of physical systems which are described by partial differential equations is a very active research field in the intersection of many engineering disciplines and natural sciences, not least mathematics. This book aims to make several contributions to this field with a focus on fluid control.§As core of this book a new method for the reduction of the complexity of linear instationary systems with distributed parameters is proposed. Motivated by the idea, that the input/output map of a system contains the crucial information for controlling the system, the i/o map of the infinite-dimensional system is directly discretized in space and time. This discretization can then be represented by means of an i/o matrix, which is especially suited for the fast approximate solution of optimization problems. Analytical error estimates are established, and numerical examples are shown for the heat equation and for the Stokes equations.§Moreover, this book deals with the controllability of so-called Couette flows, with some aspects of adaptive finite element discretizations and with i/o software interfaces for CFD codes.

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Systematic Discretization of Input/Output Maps

and Other Contributions to the Control of Distributed Parameter Systems with a Focus on Fluid Control

Információk a könyvről

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