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)
 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 polynomialtime 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
 Language
 eng
 Extent
 1 electronic text (ix, 193 p.)
 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; Interiorpoint 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 positivedefinite matrix; Minimizing norm by scaling; Rescaling a matrix positivedefinite; 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. Inputtostate properties; Statetooutput properties; Inputtooutput properties  Chapter 7: Statefeedback synthesis for LDIs. Static statefeedback controllers; State properties; Inputtostate properties; Statetooutput properties; Inputtooutput properties; Observerbased 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; Statefeedback 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; Multicriterion LQG; Nonconvex multicriterion quadratic problems  Notation  List of acronyms  Bibliography  Index
 Isbn
 9781611970777
 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.]
 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 polynomialtime 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
 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
 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
 Bibliography note
 Includes bibliographical references (p. 161186) 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; Interiorpoint 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 positivedefinite matrix; Minimizing norm by scaling; Rescaling a matrix positivedefinite; 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. Inputtostate properties; Statetooutput properties; Inputtooutput properties  Chapter 7: Statefeedback synthesis for LDIs. Static statefeedback controllers; State properties; Inputtostate properties; Statetooutput properties; Inputtooutput properties; Observerbased 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; Statefeedback 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; Multicriterion LQG; Nonconvex multicriterion quadratic problems  Notation  List of acronyms  Bibliography  Index
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 unknown
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 {'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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/Linearmatrixinequalitiesinsystemandcontrol/uc3R7uPgj8/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/Linearmatrixinequalitiesinsystemandcontrol/uc3R7uPgj8/">Linear matrix inequalities in system and control theory, Stephen Boyd ... [et al.], (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>