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 …

There are two main theses of this work: 1) Lyapunov theory can be used for performance
assessment in a variety of physically meaningful situations in addition to stability analysis; …

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 …

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 …

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 systems and control theory can be cast or recast as convex
problems that involve linear matrix inequalities (LMIs). For a few very special cases there …

Linear matrix inequalities (LMIs) have emerged as a powerful tool which has found
numerous applications in many major domains of systems control, and it's getting more and …

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 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 …

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 …