Sentence examples for of the nominal problem from inspiring English sources
Thus, when ( varGamma_{i} = 0 ), constraint (53) is equivalent to that of the nominal problem.
The parameter ( varGamma_{i} ) controls the trade-off between the probability of violation and the effect to the objective function of the nominal problem.
Again, n + 1 iterations yield a feasible solution for (RKP) and preserve the approximation ratio of the algorithm for the nominal problem.
This robust approach to optimal design replaces the nominal problem by a worst case problem.
These optimization problems with perfect CSI are referred as the nominal problems [11].
However, there is no unified way to define an uncertainty set, and the main principle is to preserve the convexity of the original nominal problem and obtain a solvable optimization problem.
This work makes a step forward in the direction of conquering this challenge by taking into account channel uncertainty, and the robust counterpart of nominal problem, without channel uncertainty, is framed by using worst-case robust optimization theory.
Soyster (1973) proposed the highest protection model of the nominal linear optimization problem which is the most conservative in practice in the sense of the robust solution.
First, the bounded robust control problem is transformed into an optimal control problem of the nominal system by a modified cost function with nonquadratic utility, which is used not only to account for all possible uncertainties, but also to deal with the control constraints.
While the brief description of the algorithm in [12] relies on a modification of a dynamic program for the nominal knapsack problem, we present a detailed algorithm explicitly designed for (RKP) which allows for an improvement of the complexities.
A given audio amplifier may not be capable of driving this low frequency impedance even though it is capable of driving the nominal impedance, a problem that can be solved either with the use of crossover filters or underrating the amplifier supplied.
