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20172026
most citedSufficient conditions for forward invariance and contractivity in hybrid inclusions using barrier functions

52 citations · 60 across the 27 of their papers we have counts for

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7 papers · 1 filter

math.OC2022

On a Strong Robust-Safety Notion for Differential Inclusions

Mohamed Maghenem, Diana Karaki

A dynamical system is strongly robustly safe provided that it remains safe in the presence of a continuous and positive perturbation, named robustness margin, added to both the arg…

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…

math.OC2022★ 2 cited

Sufficient Conditions for Robust Safety in Differential Inclusions Using Barrier Functions

Mohamed Maghenem, Masoumeh Ghanbarpour, Adnane Saoud

In this brief paper we introduce a robust-safety notion for differential inclusions, and we propose a general framework to certify such a notion in terms of barrier functions. Whil…

math.OC2022

Singular-Perturbations-Based Analysis of Dynamic Consensus in Directed Networks of Heterogeneous Nonlinear Systems

Mohamed Maghenem, Elena Panteley, Antonio Loria

We analyze networked heterogeneous nonlinear systems, with diffusive coupling and interconnected over a generic static directed graph. Due to the network's hetereogeneity, complete…

math.OC2022★ 2 cited

On Observer-based Asymptotic Stabilization of Non-uniformly Observable Systems via Hybrid and Smooth Control: a Case Study

Mohamed Maghenem, William Pasillas-Lépine, Antonio Loría +1

For systems that are not observable at the very equilibrium of interest to be stabilized, output-feedback stabilization is considerably challenging. In this paper we solve this con…

math.OC2022

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…

math.OC2022

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…