This paper presents a survey of the most significant results on robust control theory. In
particular, we study the modeling of uncertain systems, robust stability analysis for systems …

Robust Optimization Page 1 Page 2 Robust Optimization Page 3 Princeton Series in Applied
Mathematics Series Editors: Ingrid Daubechies (Princeton University); Weinan E (Princeton …

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 …

The primary disadvantage of current design techniques for model predictive control (MPC) is
their inability to deal explicitly with plant model uncertainty. In this paper, we present a new …

Research in robust control theory has been one of the most active areas of mainstream
systems theory since the late 70s. This research activity has been at the confluence of …

Lyapunov functions are an essential tool in the stability analysis of dynamical systems, both
in theory and applications. They provide sufficient conditions for the stability of equilibria or …

A new robust stability condition for uncertain discrete-time systems with convex polytopic
uncertainty is given. It enables to check stability using parameter-dependent Lyapunov …

This paper proposes different parameterized linear matrix inequality (PLMI)
characterizations for fuzzy control systems. These PLMI characterizations are, in turn …

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This paper presents new synthesis procedures for discrete-time linear systems. It is based
on a recently developed stability condition which contains as particular cases both the …