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This paper addresses the control design problem for a certain class of continuous-time nonlinear systems subject to actuator saturations.
We solve a boundary-value problem for a certain linear singular partial differential equation of parabolic type by a suitable implicit finite-difference scheme.
This paper deals with an approximate method based on the technique of conformal mapping and a variational formulation which allows for a straightforward solution of the title problem for a certain type of composite membranes.
Perturbational analysis of the relevant PDE for this problem for a certain vibroimpact system demonstrated the possibility for using the solution to the corresponding free vibration problem as a zero order approximation.
The proposed delay-driven Steiner tree construction method is of O(n2logn) complexity, where n is the number of terminal points and it provides n-approximation solution of the critical time minimization problem for a certain class of grid graphs.
In particular, the probabilistic primal problem is defined so that a Linear Matrix Inequality has a solution with probability one and the probabilistic dual problem is formulated as a solvability problem for a certain matrix integral inequality on the class of positive semidefinite symmetric matrix-valued functions.
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The method is applicable to many problems for a certain class of regions.
Next, we study existence of optimal control problems for a certain quadratic functional acting as the performance index.
Although significant interaction was found between ethnicity and some risk variables, particularly age and duration of diabetes, the inclusion of ethnicity as a risk variable overcomes this problem to a certain degree, and for clinical reasons we have elected to use one equation.
As mentioned earlier, it is not easy to reliably determine which meta-heuristic method is the best for which problem; but, it is possible to identify methods consistently producing better results, as compared to others for a certain problem.
Hence, feature selection methodology was found efficient to deal with high dimensional data by selecting adequate features for each problem to predict a certain property with a good performance, less computational/time cost.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com