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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Conditional reachability of uncertain Max Plus Linear systems

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Author(s):
Ferreira Candido, Renato Markele [1, 2] ; Hardouin, Laurent [2] ; Lhommeau, Mehdi [2] ; Mendes, Rafael Santos [1, 2]
Total Authors: 4
Affiliation:
[1] Univ Estadual Campinas, UNICAMP, Sch Elect & Comp Engn, Dept Comp Engn & Ind Automat DCA, BR-13083970 Campinas, SP - Brazil
[2] Univ Angers, ISTIA, Lab Angevin Rech Ingn Syst, 62 Av Notre Dame du Lac, F-49100 Angers - France
Total Affiliations: 2
Document type: Journal article
Source: AUTOMATICA; v. 94, p. 426-435, AUG 2018.
Web of Science Citations: 1
Abstract

The reachability analysis problem of Max Plus Linear (MPL) systems has been properly solved using the Difference-Bound Matrices approach. In this work, the same approach is considered in order to solve the reachability analysis problem of MPL systems subjected to bounded noise, disturbances and/or modeling errors, called uncertain MPL (uMPL) systems. Moreover, using the results on the reachability analysis of uMPL systems, we solve the conditional reachability problem, herein defined as the support calculation of the probability density function involved in the stochastic filtering problem. (C) 2018 Elsevier Ltd. All rights reserved. (AU)

FAPESP's process: 15/19384-9 - Observers,Reachability and Stochastic Filtering Problems in Max-Plus Systems
Grantee:Rafael Santos Mendes
Support Opportunities: Scholarships abroad - Research