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A novel kind of reliable H∞ fuzzy controller is designed to obtain relaxed conditions while both the asymptotic stability and the prescribed H∞ performance index of the underlying system are ensured.
For decreasing the conservatism of the conventional PDC-based fuzzy control, the NQLF stability synthesis approach is developed in this paper to obtain relaxed stability conditions for T S fuzzy models with multiplicative noises.
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The obtained relaxed structures are further used in the calculations of electron DOS, which are performed within the tight-binding approximation.
This method was obtained relaxing some of the requirements of the method provided by the European seismic code (Eurocode 8, EC8).
The statistical test will compensate for the high number of segments or cluster marked as over/under-expressed obtained relaxing the threshold, by identifying which results are to be considered significant (Q < 0.05).
According to the relaxed CQ algorithm [7], we firstly obtain the relaxed projection method.
At the first stage, an iterative algorithm is designed to obtain a relaxed solution.
To obtain the relaxed energy F, we develop a suitable theory of second-order μ-intrinsic operators, related to a Cosserat vector field and to a curvature tensor.
By introducing the confidence level and the preference level of decision maker, we obtain a relaxed robust deterministic formulation of the stochastic problem.
It is clear that v max ( x ̂, ℬ ′ ) = v qp { A i, b i, c i } i = 0 N. Following a similar procedure as explained in section 2.2, we can obtain a relaxed SDP problem SDP { A i, b i, c i } i = 0 N, with parameters defined in (17), and the maximum position error can be upper bounded as e ≤ v max ( x ̂, ℬ ′ ) = v qp A i, b i, c i i = 0 N ≤ v sdp { A i, b i, c i } i = 0 N. (18).
Two thresholds were used; CNVs with LBF < 10 were removed in the result file as recommended to give a maximum of 10% false positive calls, a threshold with LBF ≥ 10 was used to obtain a relaxed list of CNVs and a threshold with LBF ≥ 30 was used to obtain a stringent list of CNVs [ 23, 37].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com