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(6.4) Now, we give some lemmas, which we utilize to obtain the global convergence of the proposed algorithm.
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The bipolar coordinate system is utilized to obtain a rectangular calculation domain.
Fourier transform and wavelet analysis are utilized to obtain unique features for the waveforms.
The multiple time scaling method is utilized to obtain approximate solutions for the frequency resonance cases.
Structural analysis of the model is utilized to obtain the fault signatures for fault isolation.
Then, the optimal residuals are utilized to obtain a process fault isolation scheme.
The benefit of the process is utilized to obtain better quality titanium weldments.
A fuzzy logic inference scheme (FLIS) is utilized to obtain the gain of switching control.
Further, the approximate solution is utilized to obtain the nearly optimal control.
Same design was also utilized to obtain a training set for ANN.
The method of multiple scales is utilized to obtain the four-dimensional averaged equation.
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