89 citations · 243 across the 47 of their papers we have counts for
4 papers · 2 filters
Optimal Safety for Constrained Differential Inclusions using Nonsmooth Control Barrier Functions
Masoumeh Ghanbarpour, Axton Isaly, Ricardo G. Sanfelice +1
For a broad class of nonlinear systems, we formulate the problem of guaranteeing safety with optimality under constraints. Specifically, we define controlled safety for differentia…
Uniting Nesterov and Heavy Ball Methods for Uniform Global Asymptotic Stability of the Set of Minimizers
Dawn M. Hustig-Schultz, Ricardo G. Sanfelice
We propose a hybrid control algorithm that guarantees fast convergence and uniform global asymptotic stability of the unique minimizer of a continuously differentiable, convex obje…
Necessary and Sufficient Conditions for the Nonincrease of Scalar Functions Along Solutions to Constrained Differential Inclusions
Mohamed Maghenem, Alessandro Melis, Ricardo G. Sanfelice
In this paper, we propose necessary and sufficient conditions for a scalar function to be nonincreasing along solutions to general differential inclusions with state constraints. T…
On the Converse Safety Problem for Differential Inclusions: Solutions, Regularity, and Time-Varying Barrier Functions
Mohamed Maghenem, Ricardo. G. Sanfelice
This paper presents converse theorems for safety in terms of barrier functions for unconstrained continuous-time systems modeled as differential inclusions. Via a counterexample, w…