Advances In Linear Matrix Inequality Methods In Control


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Advances in Linear Matrix Inequality Methods in Control


Advances in Linear Matrix Inequality Methods in Control

Author: Laurent El Ghaoui

language: en

Publisher: SIAM

Release Date: 2000-01-01


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An account of the LMI method, covering topics such as LMI algorithms, analysis and synthesis issues and nonconvex problems.

Advances in Linear Matrix Inequality Methods in Control


Advances in Linear Matrix Inequality Methods in Control

Author: Laurent El Ghaoui

language: en

Publisher: SIAM

Release Date: 2000-01-01


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Linear matrix inequalities (LMIs) have recently emerged as useful tools for solving a number of control problems. This book provides an up-to-date account of the LMI method and covers topics such as recent LMI algorithms, analysis and synthesis issues, nonconvex problems, and applications. It also emphasizes applications of the method to areas other than control.

Linear Matrix Inequalities in System and Control Theory


Linear Matrix Inequalities in System and Control Theory

Author: Stephen Boyd

language: en

Publisher: SIAM

Release Date: 1994-01-01


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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.