Download Linear Matrix Inequalities in System and Control Theory by S. Boyd, L. El Ghaoui, E. Feron, V. Balakrishnan, The basic topic of this book is solving issues from system and control theory using convex optimization. we show that a wide variety of issues arising in system and control theory can be reduced to a handful of standard convex and quasiconvex optimization issues that involve matrix inequalities.


1 Introduction

2 Some Standard Problems Involving LMIs

3 Some Matrix Problems

4 Linear Differential Inclusions

5 Analysis of LDIs: State Properties

6 Analysis of LDIs: Input/Output Properties

7 State-Feedback Synthesis for LDIs

8 Lur’e and Multiplier Methods

9 Systems with Multiplicative Noise

10 Miscellaneous Problems