Advances in Linear Matrix Inequality Methods in Control

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. The basic idea of the LMI method in control is to approximate a given control problem via an optimization problem with linear objective and so-called LMI constraints. The LMI method leads to an efficient numerical solution and is particularly suited to problems with uncertain data and multiple (possibly conflicting) specifications.

Laurent El Ghaoui is Associate Professor in the Department of Electrical Engineering and Computer Science at the University of California, Berkeley. He is co-author of Linear Matrix Inequalities in System and Control Theory (SIAM, 1994).

Silviu-Iulian Niculescu is Charg de Recherche at CNRS and the author of Time-Delay Systems: Qualitative Aspects on the Stability and Stabilization (Diderot, 1997).