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Applied Interval Analysis
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The article was published on 2001-08-30 and is currently open access. It has received 1709 citations till now. The article focuses on the topics: Interval arithmetic.read more
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Design of interval observer for a class of uncertain unobservable nonlinear systems
TL;DR: This paper investigates the interval observer design for a class of nonlinear continuous systems, which can be represented as a superposition of a uniformly observable nominal subsystem with a Lipschitz nonlinear perturbation.
Journal ArticleDOI
Brief Robustness analysis of exact feedforward linearization based on differential flatness
TL;DR: A methodology to analyze robustness with respect to parametric uncertainty for exact feedforward linearization based on differential flatness using a stability result by Kelemen coupled with results issued from interval analysis theory.
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Neural Network Output Optimization Using Interval Analysis
TL;DR: Experiments show that the PS method outperforms the other methods for the NN output optimization problem, and has the property that the bounds on the network output are tighter or at least equal to those obtained through standard interval arithmetic (IA).
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An Extended Zonotopic and Gaussian Kalman Filter (EZGKF) merging set-membership and stochastic paradigms: Toward non-linear filtering and fault detection
TL;DR: A detection test is developed and shown to merge the usually mutually exclusive benefits granted by set-membership techniques (robustness to the worst-case within specified bounds, domain computations) and stochastic approaches (taking noise distribution into account, probabilistic evaluation of tests).
On Some Properties of Interval Matrices
TL;DR: By using a new set of arithmetic operations on interval numbers, some arithmetic properties of interval matrices are discussed which intern helps to compute the powers of intervals matrices and to solve the system of interval linear equations.
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