Linear Matrix Inequalities in System and Control Theory

Boyd, Stephen P.; Ghaoui, Laurent El; Feron, Eric; Balakrishnan, Vendataramanan

ISBN 10: 0898714850 ISBN 13: 9780898714852
Published by Society for Industrial and Applied Mathematics, 1987
Used Soft cover

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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.

Synopsis: 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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Bibliographic Details

Title: Linear Matrix Inequalities in System and ...
Publisher: Society for Industrial and Applied Mathematics
Publication Date: 1987
Binding: Soft cover
Condition: As New

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