Interval Analysis and Dioid : Application to Robust ... - ResearchGate

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[16] C.-A. Maia, L. Hardouin, R. Santos-Mendes, and B. Cottenceau. Optimalclosed-loop control of timed-event graphs in dioids. To appear in IEEETransactions on Automatic Control.[17] E. Menguy, J.-L. Boimond, L. Hardouin, and J.-L. Ferrier. Just in Time Controlof Timed Event Graphs: Update of Reference Input, Presence of UncontrollableInput. IEEE Trans. on Automatic Control, 45(11):2155–2158, November 2000.[18] Max. Plus. Second Order Theory of (Min,+)-linear Systems and its Applicationto Discrete Event Systems. In Proceedings of the 30th CDC, Brighton, England,December 1991.[19] SW2001. Software Tools for Manipulating Periodic Series. http://www.istiaangers.fr/˜hardouin/outils.html,http://amadeus.inria.fr/gaubert/papers/max.html., 2001.[20] W. Wonham. Linear multivariable control : A geometric approach, 3rd edition.Springer Verlag, 1985.16
AIntroductionBDioids and ResiduationB.1 Residuation theoryB.2 Mapping restrictionCDioid C(D)DDioid and Interval MathematicsD.1 Interval arithmetic in dioidD.2 Residuation of interval linear inequationsEInterval arithmetic and Timed Event GraphsFRobust feedback controller synthesisGExample : Output Feedback synthesisHConclusion17
Page 1 and 2: Interval Analysis and Dioid : Appli
Page 3 and 4: they become sup-semilattices and a
Page 5 and 6: ecomes residuated as soon as its co
Page 7 and 8: 3 Dioid C(D)Consider the set of pai
Page 9 and 10: Definition 27 Let {x α } be an inf
Page 11 and 12: the minimal and maximal time spent
Page 13 and 14: will be in the specification interv
Page 15: References[1] H. Ayhan and M.A. Wor

Interval Analysis and Dioid : Application to Robust ... - ResearchGate

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