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Article Dans Une Revue Mathematics in Computer Science Année : 2014

Kernel characterization of an interval function


This paper proposes a set-membership approach to characterize the kernel of an intervalvalued function. In the context of a bounded-error estimation, this formulation makes it possible to embed all uncertainties of the problem inside the interval function and thus to avoid bisections with respect to all these uncertainties. To illustrate the principle of the approach, two testcases taken from robotics will be presented. The first testcase deals with the characterization of all loops of a mobile robot from proprioceptive measurements only. The second testcase is the localization of a robot from range-only measurements.
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Dates et versions

hal-01062340 , version 1 (09-09-2014)



Clément Aubry, Rozenn Desmare, Luc Jaulin. Kernel characterization of an interval function. Mathematics in Computer Science, 2014, 8 (3-4), pp.379-390. ⟨10.1007/s11786-014-0206-9⟩. ⟨hal-01062340⟩
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