Abstract: This paper uses optimal control theory in order to describe the deforming processes which, at some future moment optimize a certain energy. Section 1 analyses an optimal control problem with interior cost and terminal cost differential forms. The proof of the corresponding multitime maximum principle relies on a certain temporal order and a corresponding type of needle-shaped control ...

These Lecture Notes review the formulation and application of optimization techniques based on control theory for aerodynamic shape design in both inviscid and viscous compressible flow. The theory is applied to a system defined by the partial differential equations of the flow, with the boundary shape acting as the control. The Frechet derivative of the cost function is determined via the solu...

This paper reviews the formulation and application of optimization techniques based on control theory for aerodynamic shape design in both inviscid and viscous compressible flow. The theory is applied to a system defined by the partial differential equations of the flow, with the boundary shape acting as the control. The Frechet derivative of the cost function is determined via the solution of ...

This study investigated the effectiveness of response cost and differential reinforcement of other behavior (DRO) in reducing the disruptive behaviors of 25 children in a preschool classroom. Using an alternating treatments design, disruptive behavior was reduced when the participants earned tokens for the absence of disruptive behavior (DRO) or lost tokens for the occurrence of disruptive beha...

in this article differential transformation method (dtms) has been used to solve neutral functional-differential equations with proportional delays. the method can simply be applied to many linear and nonlinear problems and is capable of reducing the size of computational work while still providing the series solution with fast convergence rate. exact solutions can also be obtained from the kno...

in this paper, we study the numerical solution of hybrid fuzzy differential equations by using differential transformation method (dtm). this is powerful method which consider the approximate solution of a nonlinear equation as an infinite series usually converging to the accurate solution. several numerical examples are given and by comparing the numerical results obtained from dtm  and  predi...

In this paper, a new approach to auction based dispatch algorithm in a deregulated power system using differential evolution technique is presented. In a deregulated power system, the production cost is replaced by seller’s bidden cost function including not only the production cost, but also the market strategy, which may become concave, whereas the conventional economic dispatch (ED) algorith...

UNLABELLED Several studies have shown that FDG-PET is more accurate than CT for the differential diagnosis and for the staging of lung cancer. We have analyzed potential effect of FDG-PET on the medical cost for the management of patients suspected of lung cancer. In the differential diagnosis, chest CT plus FDG-PET protocol reduced the number of bronchofiberscope (BFS) and biopsy by one fourth...