Abstract This paper is devoted to the numerical analysis of non-smooth ensemble optimal control problems governed by Liouville (continuity) equation that have been originally proposed R.W. Brockett with purpose determining an efficient and robust strategy for dynamical systems. A methodology solving these presented based on a Lagrange optimization framework where controls are characterized as s...

The article presents a numerical control system of multi-axis machine built using programmable logic device.The consists PC, motor controller (based on FPGA), power stages and motors. complete code was written in the VHDL language implementing Xilinx Spartan 3 board. PC program created LabVIEW.The logical functional tests have been carried out. application device enables its quick configuration...

<p style='text-indent:20px;'>A numerical approach to the investigation of optimal control problems oscillatory processes with boundary and intermediate concentrated (lumped) actions has been proposed in this paper. The corresponding analytical formulas for components target functional gradient respect considered on class piecewise continuous functions are obtained. results experiments exa...

Information Technology has played a major role in education. Rajamangala University of Technology, Isan Sakonakhon Campus, is committed to promoting 21st Century For example, the university provides an environment that supports this development by integrating use Computer Numerical Control (CNC) teaching practices. The model CNC machines used and learning outdated though, resulting slow ineffec...