Linear matrix inequalities (LMIs) have emerged recently as a useful tool for solving a
number of control problems. The basic idea of the LMI method in control is to interpret a …

The basic topic of this book is solving problems from system and control theory using convex
optimization. We show that a wide variety of problems arising in system and control theory …

Objectives In recent years linear matrix inequalities (LMI's) have emerged as a powerful tool
to approach control problems that appear hard if not impossible to solve in an analytic …

In recent years, linear matrix inequalities (LMI's) have emerged as a powerful tool to
approach control problems that appear hard if not impossible to solve in an analytic fashion …

A number of important problems from system and control theory can be numerically solved
by reformulating them as convex optimization problems with linear matrix inequality (LMI) …

Numerous tasks in control systems involve optimization problems over polynomials, and
unfortunately these problems are in general nonconvex. In order to cope with this difficulty …

A wide variety of problems in control system theory fall within the class of parameterized
linear matrix inequalities (LMIs), that is, LMIs whose coefficients are functions of a parameter …

Numerous problems in control and systems theory can be formulated in terms of linear
matrix inequalities (LMI). Since solving an LMI amounts to a convex optimization problem …

A wide variety of problems in control system theory fall within the class of parameterized
Linear Matrix Inequalities (LMIs), that is, LMIs whose coefficients are functions of a …

In many control problems, the design constraints have natural formulations in terms of linear
matrix inequalities (LMI). When no analytical solution is available, such problems can be …