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The process of discretization was done based on the Invariant Discretization method by Azah Kamilah.
In second stage, a feature extraction mechanism which is based on the invariant moments is used.
A general repetitive learning control structure based on the invariant manifold of chaotic system is given.
An invariant set condition is provided and a min-max distributed MPC strategy is proposed based on the invariant set.
As a result, this paper gives a unified design method of the dynamic quantizer based on the invariant set analysis.
We develop a first order and a second order time stepping scheme for this highly nonlinear and stiff parabolic PDE system based on the "Invariant Energy Quadratization" approach.
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However, contrary to a binary linear program, in our approach the decision is based on the invariants on Control-Loops behaviours.
Based on the invariants concept of computer science, a modelling framework is proposed to identify the decision making needs of each unit.
Instead of the evolution equation of (bar {mathbb {N}}), the invariant-based optimal fitting (IBOF) closure (Chung et al. 2002) is used to approximate the values of (bar {mathbb {N}}) in each time step, based on the invariants of (bar {boldsymbol {N}}).
In a turbulent flow, three representations are able to characterize the turbulence anisotropy: representation based on two eigenvalues (s t) of the anisotropy tensor; the Lumley Newman triangle based on two invariants (II –III ) of the anisotropy tensor; a representation based on the axisymmetry invariant A and the two-dimensional invariant G.
(a) K-means [35] of the original spectral reflectance data; (b) PCA + Ncut [18] of the original spectral reflectance data; (c) K-means based on the proposed invariant representation; (d) PCA + Ncut based on the proposed invariant representation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com