3 papers
math.OC2025
Characterization of Safety in Stochastic Difference Inclusions using Barrier Functions
Masoumeh Ghanbarpour, Sriram Sankaranarayanan
We study stochastic systems characterized by difference inclusions. Such stochastic differential inclusions are defined by set-valued maps involving the current state and stochasti…
math.OC2022
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…
math.OC2022
A Converse Robust-Safety Theorem for Differential Inclusions
Mohamed Maghenem, Masoumeh Ghanbarpour
This paper establishes the equivalence between robust safety and the existence of a barrier function certificate for differential inclusions. More precisely, for a robustly-safe di…