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In this section, the watermark embedding function is achieved by solving the constrained optimization problem (6).
Feasibility conditions are formulated, and the optimal design parameters are obtained by solving the constrained optimization problem.
Optimal engine set-points are determined by solving the constrained optimization problem with multiple objectives over part load operating conditions.
Compared with maximum margin criterion (MMC) method, OMMPS are optimal in meaning of maximum margin due that the coordinate axes of OMMPS are obtained sequentially by solving the constrained optimization problem, thus improves the recognition performance.
It does not need any conservative assumption unlike the conventional methods, and often enables us to find the desired PID gains just by solving the constrained optimization problem in a straightforward way.
Based on Lyapunov stability theory, several less conservative stability conditions are developed in the form of linear matrix inequalities to ensure the frequency stability of multi-area power system, where the optimal attenuation level can also be obtained by solving the constrained optimization problem.
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To the best of our knowledge, this effect can be explained by using ALM for solving the constrained minimization instead of QPM.
Second, the update step of the variables that are constrained once in the working set are computed by solving the equality constrained QP.
Without loss of generality, the MF equalizer can be forced to satisfy the constraint, which can then obtained by solving the following constrained optimization problem (21).
Normally, the original image u ∈ R n will be found by solving the following constrained minimization problem: min u ∈ R n { J ( u ) : A u = f }, (1.2).
where a sparse estimate of x ˆ is obtained from the measurement vector y by solving the following constrained optimization problem: x ^ Ω = arg min x ∈ ℂ G x 1 s.
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