Boundary control of PDEs : a course on backstepping designs /

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Bibliographic Details
Author / Creator:	Krstić, Miroslav.
Imprint:	Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2008.
Description:	1 online resource (x, 192 pages) : illustrations.
Language:	English
Series:	Advances in design and control ; 16 Advances in design and control ; 16.
Subject:	Control theory. Boundary layer. Differential equations, Partial. Boundary layer Control theory Differential equations, Partial
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/12577272

Hidden Bibliographic Details
Other authors / contributors:	Smyshlyaev, Andrey. Society for Industrial and Applied Mathematics.
ISBN:	9780898718607 0898718600 9780898716504 0898716500
Notes:	Includes bibliographical references (pages 177-190) and index. Title page of print version.
Summary:	This concise and highly usable textbook presents an introduction to backstepping, an elegant new approach to boundary control of partial differential equations (PDEs). Backstepping provides mathematical tools for constructing coordinate transformations and boundary feedback laws for converting complex and unstable PDE systems into elementary, stable, and physically intuitive "target PDE systems" that are familiar to engineers and physicists. Readers will be introduced to constructive control synthesis and Lyapunov stability analysis for distributed parameter systems. The text's broad coverage includes parabolic PDEs; hyperbolic PDEs of first and second order; fluid, thermal, and structural systems; delay systems; PDEs with third and fourth derivatives in space (including variants of linearized Ginzburg-Landau, Schrodinger, Kuramoto-Sivashinsky, KdV, beam, and Navier-Stokes equations); real-valued as well as complex-valued PDEs; stabilization as well as motion planning and trajectory tracking for PDEs; and elements of adaptive control for PDEs and control of nonlinear PDEs.
Other form:	Print version: 0898716500 9780898716504
Publisher's no.:	DC16 siam

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