In this paper, we address the problem of propagating in time an orthotopic or ellipsoidal bounding set for the state of discrete-time quadratic systems. The sequence of bounding sets is called the set simulation of the system, and conveys useful information about the stability and other qualitative behaviors of the possible trajectories of the system. The bounding sets are computed recursively via numerically efficient algorithms.
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Pontificia Univ Catolica Peru, Dept Acad Ingn, Secc Ing Mecatron, Lima 15088, PeruPontificia Univ Catolica Peru, Dept Acad Ingn, Secc Ing Mecatron, Lima 15088, Peru
Tello, Ivan Francisco Yupanqui
Coutinho, Daniel
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Univ Fed Santa Catarina, Postgrad Program Engn Automat & Syst, BR-88040900 Florianopolis, SC, BrazilPontificia Univ Catolica Peru, Dept Acad Ingn, Secc Ing Mecatron, Lima 15088, Peru
Coutinho, Daniel
Rabanal, Renzo Martin Mendoza
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Pontificia Univ Catolica Peru, Dept Acad Ingn, Secc Ing Mecatron, Lima 15088, PeruPontificia Univ Catolica Peru, Dept Acad Ingn, Secc Ing Mecatron, Lima 15088, Peru