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20192022
most citedBarriers and Potentially Safe Sets in Hybrid Systems: Pendulum with Non-Rigid Cable

7 citations · 19 across the 5 of their papers we have counts for

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math.OC20221 cited

Path Planning for Concentric Tube Robots: a Toolchain with Application to Stereotactic Neurosurgery

Matthias K. Hoffmann, Willem Esterhuizen, Karl Worthmann +1

We present a toolchain for solving path planning problems for concentric tube robots through obstacle fields. First, ellipsoidal sets representing the target area and obstacles are…

math.OC20217 cited

Barriers and Potentially Safe Sets in Hybrid Systems: Pendulum with Non-Rigid Cable

Willem Esterhuizen, Jean Lévine

This paper deals with an application of the notion of barrier in mixed constrained nonlinear systems to an example of a pendulum mounted on a cart with non-rigid cable, whose dynam…

math.OC20216 cited

Control Design with Guaranteed Transient Performance: an Approach with Polyhedral Target Tubes

Willem Esterhuizen, Qing-Guo Wang

In this paper a novel approach is presented for control design with guaranteed transient performance for multiple-input multiple-output discrete-time linear polytopic difference in…

math.OC20215 cited

Transient Stability Analysis of Power Grids with Admissible and Maximal Robust Positively Invariant Sets

Tim Aschenbruck, Willem Esterhuizen, Stefan Streif

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism a…

math.OC2020

Maintaining Hard Infection Caps in Epidemics via the Theory of Barriers

Willem Esterhuizen, Tim Aschenbruck, Jean Lévine +1

Research in epidemiology often focusses on designing interventions that result in the number of infected individuals asymptotically approaching zero, without considering that this…

math.OC2020

Sustainability Analysis of Interconnected Food Production Systems via Theory of Barriers

Tim Aschenbruck, Willem Esterhuizen, Murali Padmanabha +1

Controlled environment agriculture (CEA) is used for efficient food production. Efficiency can be increased further by interconnecting different CEA systems (e.g. plants and insect…