2 citations · 3 across the 17 of their papers we have counts for
6 papers · 1 filter
Safe and Dynamically-Feasible Motion Planning using Control Lyapunov and Barrier Functions
Pol Mestres, Carlos Nieto-Granda, Jorge Cortés
This paper considers the problem of designing motion planning algorithms for control-affine systems that generate collision-free paths from an initial to a final destination and ca…
Independence of Closed-Loop Equilibria and Stability from the Choice of Control Barrier Function for a Given Safe Set
Yiting Chen, Pol Mestres, Jorge Cortes +1
Control barrier functions (CBFs) play a critical role in the design of safe optimization-based controllers for control-affine systems. Given a CBF associated with a given, predefin…
Characterization of the Dynamical Properties of Safety Filters for Linear Planar Systems
Yiting Chen, Pol Mestres, Emiliano Dall'Anese +1
This paper studies the dynamical properties of closed-loop systems obtained from control barrier function-based safety filters. We provide a sufficient and necessary condition for…
Stabilization of Nonlinear Systems through Control Barrier Functions
Pol Mestres, Kehan Long, Melvin Leok +2
This paper proposes a control design approach for stabilizing nonlinear control systems. Our key observation is that the set of points where the decrease condition of a control Lya…
Converse Theorems for Certificates of Safety and Stability
Pol Mestres, Jorge Cortés
Motivated by the key role of control barrier functions (CBFs) in assessing safety and enabling the synthesis of safe controllers in nonlinear control systems, this paper presents a…
Distributed Safe Navigation of Multi-Agent Systems using Control Barrier Function-Based Optimal Controllers
Pol Mestres, Carlos Nieto-Granda, Jorge Cortés
This paper proposes a distributed controller synthesis framework for safe navigation of multi-agent systems. We leverage control barrier functions to formulate collision avoidance…