Antoine Chaillet

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In this paper, we consider the problem of stabilizing sufficiently smooth nonlinear time-invariant plants over a network whereby feedback is closed through a limitedbandwidth digital channel. Reliable packet switching networks are explicitly considered, for which both the time between consecutive accesses to each node (MATI) and the delay by which each data(More)
It is due to the modularity of the analysis that results for cascaded systems have proved their utility in numerous control applications as well as in the development of general control techniques based on “adding integrators”. Nevertheless, the standing assumptions in most of the present literature on cascaded systems is that, when decoupled, the(More)
The Integral Input to State Stability (iISS) property is studied is the context of nonlinear time-invariant systems in cascade. Some sufficient conditions for the preservation of the iISS property under a cascade interconnection are presented. Those are first given as growth restrictions on the supply functions of the storage function associated to each(More)
Motivated by the recent development of Deep Brain Stimulation (DBS) for neurological diseases, we study a network of interconnected oscillators under the influence of mean-field feedback and analyze the robustness of its phase-locking with respect to general inputs. Under standard assumptions, this system can be reduced to a modified version of the Kuramoto(More)
High-frequency deep brain stimulation is used to treat a wide range of brain disorders, like Parkinson's disease. The stimulated networks usually share common electrophysiological signatures, including hyperactivity and/or dysrhythmia. From a clinical perspective, HFS is expected to alleviate clinical signs without generating adverse effects. Here, we(More)
We address the following question: given a double integrator and a linear control that stabilizes it exponentially, is it possible to use the same control input in the case that the control input is multiplied by a time-varying term? Such question has many interesting motivations and generalizations: 1) we can pose the same problem for an input gain that(More)
This technical note studies the notion of Strong iISS, which is defined as the combination of input-to-state stability (ISS) with respect to small inputs, and integral input-to-state stability (iISS). This notion characterizes the robustness property that the state remains bounded as long as the magnitude of exogenous inputs is reasonably small, but may(More)
In this paper we analyze the robustness of phaselocking in the Kuramoto system with arbitrary bidirectional interconnection topology. We show that the effects of timevarying natural frequencies encompass the heterogeneity in the ensemble of oscillators, the presence of exogenous disturbances, and the influence of unmodeled dynamics. The analysis, based on a(More)