Moreover, the optimal fixed-point realization and controller architecture are selected as a tradeoff between control performances and FPGA resource occupancy.
The innovative idea of this paper is to aggregate the DEDR-optimal fixed-point iterative reconstruction/enhancement procedures developed in the previous studies [7, 8, 10] with the multi-level robustness and convergence enforcing regularization via constructing the proper projections onto convex sets (POCS) in the solution domain.
In order to get an optimal choice of the fixed point of our rational cubic IFS (11), one can employ a genetic algorithm interactively until the desired accuracy is obtained with the original function.
Since alternative optimal solutions exist in the genome-scale metabolic flux models [ 34], a range of secretion rates can be found amongst all of the equivalent optimal solutions for a fixed point in the PhPP.
Ekeland's variational principle [34] has been widely used in various areas of analysis such as fixed point analysis, optimization, and optimal control theory.
Thus the proximity point problem is to find an optimal approximate solution of the fixed point equation (Tx = x).
We also calculate some common optimal approximate solutions of some fixed point equations when there does not exist any common fixed point.
We view the main problem in the paper as a problem of finding an optimal approximate solution of a fixed point equation.
Amongst many approaches to this problem, we adopt the approach where the problem is treated as that of finding global optimal approximate solution of the fixed point equation for the generalized weak contraction mapping.
More elaborately, the problem can be treated as that of finding a global optimal approximate solution of the fixed point equation (x = Sx) even when the exact solution is nonexistent for (A cap B = emptyset), which is the case of interest here.
First, we derive a fixed-point-type necessary condition for both optimal sensor quantization rules and an optimal linear estimation fusion rule: a fixed point of an integral operation.
