activity
20172020
most citedThe Maximal Positively Invariant Set: Polynomial Setting

4 citations · 4 across the 2 of their papers we have counts for

collaborators

6 papers

math.OC2020

A set-theoretic generalization of dissipativity with applications in Tube MPC

Mario Eduardo Villanueva, Elena De Lazzari, Matthias Müller +1

This paper introduces a framework for analyzing a general class of uncertain nonlinear discrete-time systems with given state-, control-, and disturbance constraints. In particular…

math.OC2020

Towards Global Optimal Control via Koopman Lifts

Mario E. Villanueva, Colin Jones, Boris Houska

This paper introduces a framework for solving time-autonomous nonlinear infinite horizon optimal control problems, under the assumption that all minimizers satisfy Pontryagin's nec…

math.OC2019

Partially Distributed Outer Approximation

Alexander Murray, Timm Faulwasser, Veit Hagenmeyer +2

This paper presents a novel partially distributed outer approximation algorithm, named PaDOA, for solving a class of structured mixed integer convex programming (MICP) problems to…

math.OC2019

Parallel Explicit Tube Model Predictive Control

Kai Wang, Yuning Jiang, Juraj Oravec +2

This paper is about a parallel algorithm for tube-based model predictive control. The proposed control algorithm solves robust model predictive control problems suboptimally, while…

math.OC2019

Backward-Forward Reachable Set Splitting for State-Constrained Differential Games

Xuhui Feng, Mario E. Villanueva, Boris Houska

This paper is about a set-based computing method for solving a general class of two-player zero-sum Stackelberg differential games. We assume that the game is modeled by a set of c…

math.DS20174 cited

The Maximal Positively Invariant Set: Polynomial Setting

Saša V. Raković, Mario E. Villanueva

This note considers the maximal positively invariant set for polynomial discrete time dynamics subject to constraints specified by a basic semialgebraic set. The note utilizes a re…