179 citations · 245 across the 6 of their papers we have counts for
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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…
Epidemic Management with Admissible and Robust Invariant Sets
Willem Esterhuizen, Jean Lévine, Stefan Streif
We present a detailed set-based analysis of the well-known SIR and SEIR epidemic models subjected to hard caps on the proportion of infective individuals, and bounds on the allowab…
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…
Intrinsic and Apparent Singularities in Flat Differential Systems
Y. J. Kaminski, J. Levine, F. Ollivier
In this paper, we study the singularities of locally flat systems, motivated by the solution, if it exists, of the global motion planning problem for such systems, in the spirit of…
On Barriers in State and Input Constrained Nonlinear Systems
José A. De Doná, Jean Lévine
In this paper, the problem of state and input constrained control is addressed, with multidimensional constraints. We obtain a local description of the boundary of the admissible s…
On Necessary and Sufficient Conditions for Differential Flatness
Jean Lévine
This paper is devoted to the characterization of differentially flat nonlinear systems in implicit representation, after elimination of the input variables, in the differential geo…