Plastic number and possible optimal solutions for an Euclidean 2-matching in one dimension

Equivalent a posteriori error estimates for spectral element solutions of constrained optimal control problem in one dimension

‎In this paper‎, ‎we study spectral element approximation for a constrained‎ ‎optimal control problem in one dimension‎. ‎The equivalent a posteriori error estimators are derived for‎ ‎the control‎, ‎the state and the adjoint state approximation‎. ‎Such estimators can be used to‎ ‎construct adaptive spectral elements for the control problems.

development and implementation of an optimized control strategy for induction machine in an electric vehicle

in the area of automotive engineering there is a tendency to more electrification of power train. in this work control of an induction machine for the application of electric vehicle is investigated. through the changing operating point of the machine, adapting the rotor magnetization current seems to be useful to increase the machines efficiency. in the literature there are many approaches wh...

An Optimal Matching Problem for the Euclidean Distance

We deal with an optimal matching problem, that is, we want to transport two measures to a given place, where they will match, minimizing the total transport cost that in our case is given by the sum of the Euclidean distance that each measure is transported. We show that such a problem has a solution. Furthermore we perform a method to approximate the solution of the problem taking limit as p→∞...

equivalent a posteriori error estimates for spectral element solutions of constrained optimal control problem in one dimension

‎in this paper‎, ‎we study spectral element approximation for a constrained‎ ‎optimal control problem in one dimension‎. ‎the equivalent a posteriori error estimators are derived for‎ ‎the control‎, ‎the state and the adjoint state approximation‎. ‎such estimators can be used to‎ ‎construct adaptive spectral elements for the control problems.

A geometric proof of the combinatorial bounds the number of optimal solutions for the 2-center euclidean problem