6 citations · 11 across the 8 of their papers we have counts for
9 papers
Asymptotically minimal contractors based on the centered form;Application to the stability analysis of linear systems
Luc Jaulin
This paper proposes a new interval-based contractor for nonlinear equations which is minimal when dealing with narrow boxes. The method is based on the centered form classically us…
Karush-Kuhn-Tucker conditions to build efficient contractors; Application to TDoA localization
Luc Jaulin
This paper proposes an efficient contractor for the TDoA (Time Differential of Arrival) equation. The contractor is based on a minimal inclusion test which is built using the Karus…
Optimal separator for an hyperbola; Application to localization
Luc Jaulin
This paper proposes a minimal contractor and a minimal separator for an area delimited by an hyperbola of the plane. The task is facilitated using actions induced by the hyperoctah…
Optimal separator for an ellipse; Application to localization
Luc Jaulin
This paper proposes a minimal contractor and a minimal separator for an ellipse in the plane. The task is facilitated using actions induced by the hyperoctahedral group of symmetri…
Enclosing the Sliding Surfaces of a Controlled Swing
Luc Jaulin, Benoît Desrochers
When implementing a non-continuous controller for a cyber-physical system, it may happen that the evolution of the closed-loop system is not anymore piecewise differentiable along…
Interval centred form for proving stability of non-linear discrete-time systems
Auguste Bourgois, Luc Jaulin
In this paper, we propose a new approach to prove stability of non-linear discrete-time systems. After introducing the new concept of stability contractor, we show that the interva…