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The constraint gradient matrix G t is based on structural sensitivity analysis of cable tensions with respect to cable dimensions [23].
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Indirect optimization technique incorporated with constraint gradients is employed to further improve the computational efficiency and accuracy of the algorithm.
In this paper, smoothness constraints for weights, expressed as gradient constraints on a log scale in dB/decade, which is intuitive from a design perspective, are imposed in a weight optimization framework for H∞ loop-shaping control.
Simulations of the method verify its capabilities in maintaining paraunitary constraints for gradient-based spatiotemporal principal and minor subspace tracking.
And using gradient constraint, the fused result would have clear details and edges with noise suppression.
where the + subscript denotes the causal part of the IFFT (corresponding to the gradient constraint in [10]), and μ is the convergence coefficient.
The optimal setting of the favorable pressure gradient constraint, which is important for the trade-off between drag reduction and laminar stability, is then studied via numerical investigation.
We design a cost function by taking the advantages of global maximum entropy as the first term, together with gradient constraint as the regularized term.
In the gradient constraint term, the moment matching method is adopted to obtain the normalized image; then a gradient gain factor function is designed to adjust the magnitudes of the normalized image gradients and obtain the desired gradient field.
In order to solve the problems with the basic motion constraint equation, many gradient measurements have been introduced (Gaussian derivatives) into the velocity measure via Taylor expansion representation of the local space-time structure.
In Section 3, under the weighted or spectral norm constraint on the gradient matrix, we solve the joint optimization problem resorting to the SDP relaxation, and provide a solution to the problem.
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