%0 Conference Proceedings %T Separator Algebra for State Estimation %+ Lab-STICC_ENSTAB_CID_IHSEV ; OSM %+ Lab-STICC_ENSTAB_CID_PRASYS %A Jaulin, Luc %< avec comité de lecture %B SMART 2015 %C Manchester, United Kingdom %8 2015-09-16 %D 2015 %K related interval analysis %K set-membership techniques %Z Engineering Sciences [physics]/Automatic %Z Mathematics [math]/Optimization and Control [math.OC] %Z Mathematics [math]/Operator Algebras [math.OA] %Z Computer Science [cs]/Systems and Control [cs.SY]Conference papers %X In this paper, we show how it is possible to find both an inner and an outer approximations forX(t). Some existing methods are able to find an outer approximation [KJWM99] [GRMA13], but,to my knowledge, none of them is able to get an inner approximation. The main idea is to copy aclassical contractor approach [CJ09] for state estimation, but to use separators [JD14] instead ofcontractors. %G English %2 https://hal.science/hal-01236498/document %2 https://hal.science/hal-01236498/file/paper_smart_sepobs.pdf %L hal-01236498 %U https://hal.science/hal-01236498 %~ UNIV-BREST %~ INSTITUT-TELECOM %~ ENSTA-BRETAGNE %~ CNRS %~ UNIV-UBS %~ ENSTA-BRETAGNE-STIC %~ INSMI %~ ENIB %~ LAB-STICC %~ TDS-MACS %~ INSTITUTS-TELECOM