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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
Citations
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Journal ArticleDOI
Input–output gain of collective response in an uncoupled parallel array of saturating dynamical subsystems
TL;DR: Numerical simulation results show that a parallel array of nonlinear saturating subsystems can enhance the signal transmission via tuning the internal noise intensity and increasing the array size.
Proceedings ArticleDOI
Interval Techniques for Design of Optimal and Robust Control Strategies
TL;DR: In this paper, an interval arithmetic optimization for both discrete-time and continuous-time systems is presented, which directly takes into account the influence of dis- turbances and deviations of system parameters from their nominal values.
Posted Content
Constrained Polynomial Zonotopes
TL;DR: The constrained polynomial zonotope (CPZ) as mentioned in this paper is a non-convex set representation that is closed under linear map, Minkowski sum, Cartesian product, convex hull, intersection, union, and quadratic as well as higher-order maps.
Journal ArticleDOI
A Mixed Interval Arithmetic/Affine Arithmetic Approach for Robust Design Optimization With Interval Uncertainty
Shaobo Wang,Xiangyun Qing +1 more
TL;DR: A new approach is presented for single-objective RO problems with an objective function and constraints that are continuous and differentiable, which requires a minimal use of IA/AA computation and applies some widely used advanced solvers to single-looped optimization problems, making it more suitable for applications in engineering fields.
Journal ArticleDOI
A class of problems that can be solved using interval algorithms
TL;DR: The paper discusses several theoretical and implementational problems of interval branch-and-bound methods and a trial to define a class of problems that can be solved with such methods.
References
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