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The desired L2 L∞ dynamic output feedback controller can be found by solving a convex optimization problem.

The optimal policy that maximizes throughput in an energy harvesting multi-pair relay channel can be found by solving the convex problem in Equation 3 with K=2.

As a consequence, the relay amplification factors on each subcarrier can be found by solving a convex problem equivalent to (49), which is obtained by simply considering the logarithm of the objective.

The lower bound for set can be found by solving the problem using convex problem methods.

The decision function is found by solving the convex optimization problem max α i ∑ i α i - 1 2 ∑ i, j α i α j y i y j 〈 ϕ ( x i ), ϕ ( x j ) 〉 (.3).3

The main properties of POCS were studied and an upper bound on the position error, for the case when the distance estimation errors are positive, was found by solving a non-convex optimization problem.

Optimal results have been found by means of wedges with convex side surfaces.

The convex hull is found by Graham algorithm, which mainly includes the following steps: In an arbitrary planar point set, after sorting and scanning, its convex hull is shown as Figs. 3 and 4 show the circular data and its convex hull.

The Pareto-optimal design for the aforementioned model in the region of analysis has then been found by the method presented in Section 3.1, where 18 distinct points were identified on the convex hull of the Pareto-surface.

The optimal power allocation with full CSI at the transmitter for this problem can be found explicitly by using convex optimization techniques and was presented in Proposition 4 of[3].

For a given pilot set, the optimal pilot power λi,1,…, λ i, N p that minimizes the channel MSE η i can be found numerically by resorting to convex optimization technique[11].

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