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The Resource Linear matrix inequalities in system and control theory, Stephen Boyd ... [et al.], (electronic resource)

Linear matrix inequalities in system and control theory, Stephen Boyd ... [et al.], (electronic resource)

Label
Linear matrix inequalities in system and control theory
Title
Linear matrix inequalities in system and control theory
Statement of responsibility
Stephen Boyd ... [et al.]
Contributor
Subject
Language
eng
Summary
In this book the authors reduce a wide variety of problems arising in system and control theory to a handful of convex and quasiconvex optimization problems that involve linear matrix inequalities. These optimization problems can be solved using recently developed numerical algorithms that not only are polynomial-time but also work very well in practice; the reduction therefore can be considered a solution to the original problems. This book opens up an important new research area in which convex optimization is combined with system and control theory, resulting in the solution of a large number of previously unsolved problems
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Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
SIAM studies in applied mathematics
Series volume
vol. 15
Target audience
adult
Linear matrix inequalities in system and control theory, Stephen Boyd ... [et al.], (electronic resource)
Label
Linear matrix inequalities in system and control theory, Stephen Boyd ... [et al.], (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://epubs.siam.org/ebooks/siam/studies_in_applied_and_numerical_mathematics/am15
Publication
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Bibliography note
Includes bibliographical references (p. 161-186) and index
Color
black and white
Contents
  • Preface -- Chapter 1: Introduction. Overview; A brief history of LMIs in control theory; Notes on the style of the book; Origin of the book -- Chapter 2: Some standard problems involving LMIs. Linear matrix inequalities; Some standard problems; Ellipsoid algorithm; Interior-point methods; Strict and nonstrict LMIs; Miscellaneous results on matrix inequalities; Some LMI problems with analytic solutions -- Chapter 3: Some matrix problems. Minimizing condition number by scaling; Minimizing condition number of a positive-definite matrix; Minimizing norm by scaling; Rescaling a matrix positive-definite; Matrix completion problems; Quadratic approximation of a polytopic norm; Ellipsoidal approximation -- Chapter 4: Linear differential inclusions. Differential inclusions; Some specific LDIs; Nonlinear system analysis via LDIs -- Chapter 5: Analysis of LDIs: state properties. Quadratic stability; invariant ellipsoids -- Chapter 6: Analysis of LDIs: input/output properties. Input-to-state properties; State-to-output properties; Input-to-output properties -- Chapter 7: State-feedback synthesis for LDIs. Static state-feedback controllers; State properties; Input-to-state properties; State-to-output properties; Input-to-output properties; Observer-based controllers for nonlinear systems -- Chapter 8: Luré and multiplier methods. Analysis of Luré systems; Integral quadratic constraints; Multipliers for systems with unknown parameters --
  • Chapter 9: Systems with multiplicative noise. Analysis of systems with multiplicative noise; State-feedback synthesis -- Chapter 10: Miscellaneous problems. Optimization over an affine family of linear systems; Analysis of systems with LTI perturbations; Positive orthant stabilizability; Linear systems with delays; Interpolation problems; The inverse problem of optimal control; System realization problems; Multi-criterion LQG; Nonconvex multi-criterion quadratic problems -- Notation -- List of acronyms -- Bibliography -- Index
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Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3128733'}
Extent
1 electronic text (ix, 193 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9781611970777
Isbn Type
(electronic bk.)
Other physical details
digital file.
Publisher number
AM15
Reformatting quality
access
Specific material designation
remote
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

Library Locations

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