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From the above analysis, the consistency problem can be converted to solving the feasibility problem with BMI (bilinear matrix inequality) constraints as: left{ begin{aligned} & hbox{min} ;t & {text{s.t.}} - {varvec{L}}({varvec{P}}_{ij} ) < t{varvec{I}} & {varvec{B}}left( {{varvec{P}}_{ij},{varvec{K}}_{ij} } right) < t{varvec{I}}end{aligned} right.
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However, surface machining error is affected mainly by cutting depth, so the ultimate goal of an iterative solution can be converted to solve the actual cutting depth U n at each nominal cutting tool position point, so that the actual cutting tool position coincides with the nominal cutting tool position or meets the given convergence conditions.
And by using the cone complementarity linearization iterative algorithm, the fault detection filter design is converted to solving a sequence of convex optimization problems subject to LMIs.
With two extra regularization terms, this final energy minimization problem is converted to solve a level set evolution equation by using the gradient descent method.
For the geolocation approach proposed in this paper, a deviation is introduced to the landmark, and in combination with estimated relative delay between landmarks and the target, the target IP geolocation is converted to solve an optimization problem.
With no loss of generality, any optimization problems for which GA aims to solve can be converted to posterior mode searches in Bayesian context.
Although the proposed model may be computationally time-demanding and it may take time to find the optimal solution for large-sized network design, yet it can easily be converted to a smaller dimensional problem and solved.
The subsequent ill-posed eigenvalue problem of a linear system for the finite state-space can be converted to a well-posed system of linear equations and solved.
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The boundary stabilization problem is converted to a problem of solving a specific Klein Gordon-type linear hyperbolic PDE.
The discrete random fiber networks representing membranes are converted to resistor networks and solved for current flow and ionic conductivity.
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