208 citations · 437 across the 22 of their papers we have counts for
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Koopman-based lifting techniques for nonlinear systems identification
Alexandre Mauroy, Jorge Goncalves
We develop a novel lifting technique for nonlinear system identification based on the framework of the Koopman operator. The key idea is to identify the linear (infinitedimensional…
An Optimal Control Formulation of Pulse-Based Control Using Koopman Operator
Aivar Sootla, Alexandre Mauroy, Damien Ernst
In many applications, and in systems/synthetic biology, in particular, it is desirable to compute control policies that force the trajectory of a bistable system from one equilibri…
Properties of Isostables and Basins of Attraction of Monotone Systems
Aivar Sootla, Alexandre Mauroy
In this paper, we investigate geometric properties of monotone systems by studying their isostables and basins of attraction. Isostables are boundaries of specific forward-invarian…
Properties of Eventually Positive Linear Input-Output Systems
Aivar Sootla
In this paper, we consider the systems with trajectories originating in the nonnegative orthant becoming nonnegative after some finite time transient. First we consider dynamical s…