Linear Matrix Inequalities in System and Control Theory

Linear Matrix Inequalities in System and Control Theory (Studies in Applied and Numerical Mathematics)

Linear Matrix Inequalities in System and Control Theory (Studies in Applied and Numerical Mathematics): Venkataramanan Balakrishnan, Eric Feron, Laurent El Ghaoui
Society for Industrial Mathematics | ISBN: 0898714850 | 1997-06-26 | djvu (ocr) | 193 pages | 1.58 Mb
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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