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Noting that minimum projection uniformity criterion is related to uniform designs, our results should raise the hope of improving the connection between uniform design theory and factorial design theory.
A 48, 1 11] proposed the minimum projection uniformity criterion to assess and compare two-level factorials.
The objective is to characterize minimum projection uniformity for two-level designs in terms of their complementary designs.
In present paper, we study applications of minimum projection uniformity criterion in aberration designs, orthogonal arrays and supersaturated designs.
Based on relationships of the uniformity pattern between a pair of complementary designs, we propose a minimum projection uniformity (MPU) rule to assess and compare two-level factorials.
Relationship among minimum projection uniformity, generalized minimum aberration [Ma, C. X., Fang, K. T., 2001. A note on generalized aberration factorial designs. Metrika 53, 85 93; Xu, H., Wu, C. F. J., 2001. Generalized minimum aberration for asymmetrical fractional factorial designs. Ann. Statist. 29, 549 560], V-criterion [Tang, B., 2001.
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In this paper, the projection uniformity for quantitative designs is studied under wrap-around L2-discrepancy.
Then, we obtain a semiconcave CLF on the original space by the minimum projection method.
To address the problem, we had proposed the multilayer minimum projection method to design nonsmooth control Lyapunov functions.
We propose a C∞ differentiable strict CLF design method for differentially flat systems by dynamic extension and minimum projection method.
We design a C8differentiable "static" strict CLF for the PVTOL system by dynamic extension and minimum projection method.
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