A computationally inexpensive algorithm for determining outer and inner enclosures of nonlinear mappings of ellipsoidal domains

DOI10.34768/amcs-2021-0027zbMath1478.93039OpenAlexW3202791607MaRDI QIDQ2057959

Andreas Rauh, Jaulin, Luc

Publication date: 7 December 2021

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://hal-ensta-bretagne.archives-ouvertes.fr/hal-03344078

zbMATH Keywords

confidence intervalsnonlinear systemsbounded uncertaintyinner and outer approximationsellipsoidal enclosuresguaranteed enclosures

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10) Discrete-time control/observation systems (93C55) Observability (93B07) Attainable sets, reachability (93B03)

Related Items (2)

COMPUTATIONAL MODEL OF A FRACTIONAL-ORDER CHEMICAL REACTOR SYSTEM AND ITS CONTROL USING ADAPTIVE SLIDING MODE CONTROL ⋮ Computational tractable guaranteed numerical method to study the stability of \(n\)-dimensional time-independent nonlinear systems with bounded perturbation

Uses Software

• INTLAB
• Ellipsoidal Toolbox

Cites Work

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