A computational technique for unconstrained optimal control problems is presented. First an Euler discretization is carried out to obtain a finite-dimensional approximation of the continous-time (infinite-dimensional) problem. Then an inexact restoration (IR) method due to Birgin and Mart́ınez is applied to the discretized problem to find an approximate solution. Convergence of the technique to ...

We propose a new approach to quantize the marginals of the discrete Euler process resulting from the discretization of a brownian diffusion process using the Euler scheme. The method is built recursively using the distribution of the marginals of the discrete Euler process. The quantization error associated to the marginals is shown to goes toward 0 at the optimal rate associated to the quantiz...

We propose a new approach to quantize the marginals of the discrete Euler process resulting from the discretization of a brownian diffusion process using the Euler scheme. The method is built recursively using the distribution of the marginals of the discrete Euler process. The quantization error associated to the marginals is shown to goes toward 0 at the optimal rate associated to the quantiz...

Let H ⊆ Z be a positive semigroup generated by A ⊆ H, and let K[H] be the associated semigroup ring over a field K. We investigate heredity of the Cohen–Macaulay property from K[H] to both its A -Newton graded ring and to its face rings. We show by example that neither one inherits in general the Cohen–Macaulay property. On the positive side we show that for every H there exist generating sets ...

A general outer iteration, based upon linearization, is introduced at discrete time steps for the one-dimensional semiconductor device model. The iteration depends upon solving the semidiscrete device equations approximately, specifically, in such a way that the residual is of order ∆t in an appropriate norm. It is shown that this maintains the order of the backward Euler method. A monitoring o...

Multifarious and continuous oceanographic observation data is of considerable significance to research military application. In this paper, a novel method with dual-modal underwater vehicle able switch between the Argo Glider modes proposed studied experimentally in South China Sea. Using Newton–Euler formulation, complete dynamic model considering variation gravity/buoyancy due mode switching ...

This paper proposes a novel modelling approach for heavy-duty manipulator with parallel$-$serial structures connected in series. Each considered structure contains revolute segment rigid links by passive joint and actuated linear hydraulic actuator, thus forming closed kinematic loop. In addition, prismatic segments, consisting of joints driven actuators, also are considered. Expressions actuat...

An exact expression for the gravitational field strength in a self–gravitating dust continuum is derived within the Lagrangian picture of continuum mechanics. From the Euler–Newton system a transport equation for the gravitational field strength is formulated and then integrated along trajectories of continuum elements. It is shown that the so–obtained integral solves one of the Lagrangian equa...