Mathematical optimization is one of the cornerstones of modern engineering research and
practice. Yet, throughout all application domains, mathematical optimization is, for the most …

This article investigates the problem of regulating, at every time, a linear dynamical system
to the solution trajectory of a time-varying constrained convex optimization problem. The …

This paper presents an adaptive backstep** approach to distributed optimization for a
class of nonlinear multi-agent systems with each agent represented by the parametric strict …

In this letter, we present a novel control scheme for feedback optimization. That is, we
propose a discrete-time controller that can steer a physical plant to the solution of a …

This article considers the problem of designing a continuous-time dynamical system that
solves a constrained nonlinear optimization problem and makes the feasible set forward …

This paper studies regularity properties of optimization-based controllers, which are
obtained by solving optimization problems where the parameter is the system state and the …

This paper proposes a general framework for constructing feedback controllers that drive
complex dynamical systems to" efficient" steady-state (or slowly varying) operating points …

A longstanding open problem of systems neuroscience is to understand how the brain
calibrates thousands of reflexes to achieve near instantaneous disturbance rejection. While …

Relaxed conditions are given for stability of a feedback system consisting of an
exponentially stable multi-input multi-output nonlinear plant and an integral controller …

This paper studies the design of feedback controllers to steer a switching linear dynamical
system to the solution trajectory of a time-varying convex optimization problem. We propose …