Gradient-based methods have been widely used for system design and optimization in
diverse application domains. Recently, there has been a renewed interest in studying …

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 …

This paper provides an introduction and overview of recent work on control barrier functions
and their use to verify and enforce safety properties in the context of (optimization based) …

Event-triggered control consists of closing the feedback loop whenever a predefined state-
dependent criterion is satisfied. This paradigm is especially well suited for embedded …

We address the long-standing problem of computing the region of attraction (ROA) of a
target set (eg, a neighborhood of an equilibrium point) of a controlled nonlinear system with …

This paper introduces appropriate concepts of input-to-state stability (ISS) and integral-ISS
for impulsive systems, ie, dynamical systems that evolve according to ordinary differential …

This paper presents a sum of squares (SOS) approach for modeling and control of nonlinear
dynamical systems using polynomial fuzzy systems. The proposed SOS-based framework …

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 …

Abstract GloptiPoly is a Matlab/SeDuMi add-on to build and solve convex linear matrix
inequality (LMI) relaxations of non-convex optimization problems with multivariate …

Stability analysis and control of linear impulsive systems is addressed in a hybrid framework,
through the use of continuous-time time-varying discontinuous Lyapunov functions …