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The solution for the CF power allocation problem can be derived equivalently to the AF case.
From Eq. 30, an eigenvalue problem can be derived by assuming that θs are harmonic functions of τ expressed as theta ={e}^{jomega tau}varTheta (34).
Simplificat ions of the design problem can be derived if the control law is restricted to be of proportional-integral character.
By this way, the Green function of problem for the domain in the jump problem can be derived from the Green function of problem for some simple canonical domain by conformal mapping.
The solution of this problem can be derived by merging both conditions and related matrix operations, and results in the following vector of CCs, namely: s c = - P CC μ I + P CC 0 s d = W s d, (12).
The approach is based on heuristic rules that assist the formulation of the real world design problem in such a way that a mixed integer nonlinear programming problem can be derived.
Similar(49)
Since the characterizations of nonemptiness and boundedness of the solution set for strong vector equilibrium problems can be derived when F is a single-valued map, it is natural to ask whether characterizations on nonemptiness and boundedness of the solution set for (SVSEP) can be obtained in the case that F is multi-valued, which constitutes the motivation of this article.
For the case of non-homogeneity under consideration, by following the similar procedure in solving problem (28), the optimal solution to problem (38) can be derived as W ~ = η H ̂ H G G H ̂ H ̂ H G + δ Tr { G 2 } M ( 1 - δ ) + Tr { Σ - 1 } P ( 1 - δ ) I - 1. (40).
By the analysis of substructures, contradictory as well as consistent ones, standardized patterns and problem statements can be derived.
Following the optimization procedure in [7], the optimal solution to problem (8) can be derived as W RZF = H H H H H + ∑ i = 1 K 1 / ρ i P I - 1. (9).
Actually, it is known that there exist many open problems which can be derived from the original problem.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com