No 1 (2016)

A Borel measure Lagrange multiplier appears in the maximum principle for state constrained problems. The question of continuity or absolute continuity of the measure-multiplier is highly relevant for various applications in particular for some problems of kinematic control. The velocity in such problems is considered as a state variable. As soon as the magnitude of the velocity is bounded, for instance above, (which is quite natural in problems of kinematic control), this leads to the state constraints and to a measure Lagrange multiplier in the necessary optimality conditions. In Control Theory, the methods that are use to solve these conditions often require the continuity of the measure. In this paper, we consider some examples of optimal control problems with state constraints for which one can ensure that this measure is continuous, without a calculation of extremal process.

Unfortunately, all the existing methods used for modeling computational electrodynamics have their weaknesses. The authors’ goal is to analyze the most popular methods. We use spherical Luneburg lens as an illustration. In this paper authors review the Finite-difference time-domain (FDTD for short), electromagnetic field solver openEMS and its applicability for simulation of wave propagation through medium with the spherical Luneburg lens as an example. Thanks to it’s simplicity and broad capabilities, the FDTD method is widely used in various fields. There are quite a lot of simulation tools that implement FDTD, both open-source and proprietary. OpenEMS is an extension for MATLAB and Octave for solving electromagnetic field using the EC-FDTD method. It supports Cartesian and cylindrical coordinates. OpenEMS is free and open-source. It also supports multi-threading, SIMD (SSE) and MPI. In this paper we simulate wave propagation through spherical Luneburg lens via openEMS thus showing the capabilities of the tool, such as a method to simulate GRIN-optics. We also show how to install and configure it, and how to visualize and analyze the results using ParaView, the application for scientific visualization. Source code of the simulation is presented with appropriate commentaries. In this paper we also briefly reviewthe classic FDTD method and Yee algorithm. We examined the capabilities of openEMS and FDTD method to simulate wave propagation in a medium.

In modern telecommunication networks is implemented information transmitting security for protection programs and databases. We propose the approach of signaling messages processing estimation in case when the network includes one firewall and two proxy servers. Firewall is based on security rules and define security police. We choose a session setup procedure between two users using the Session Initiation Protocol as anillustration of the method. Signaling messages are moving from the first user to the second through IP/MPLS network, proxy servers and firewall. The chain of signaling messages must successfully service before media traffic starts. We get preliminary estimation of performance measures for modern firewall Cisco ASA 5500-X with Security Service Processor SSP-10. Numerical example shows, that firewall Cisco ASA 5500-X serves signaling messages can be implemented. Mean waiting time and mean service time in this firewall has little effect on the session setup time and the session request delay.

Consider the problem analysis and selection of informative features, which are the luminance and geometric invariants. An analytical overview of the works, which raises the problem of constructing invariants and solve practical problems. Among the invariants to the multiplicative and additive transformations brightness discussed the correlation coefficient, the normalized histogram of some special relationship of line segments and angles. It is considered as the simplest geometric and integral invariants resistant to affine transformations, as well as the transformation strain. Among all geometric invariants allocated invariants Hu, in which interest is not waning and now. Since there is no evidence in the original sources of the invariance of the allegations, the great attention is paid to checking on some points invariance to rotation of frequently used operations. The above features can be used for solving problems of pattern recognition, distance measurement, analysis of complex scenes. It is expected that in the future on the basis of brightness and geometric invariants will be solved the problem of recognizing individual rights. This article is intended for a wide range ofpost-graduate students and engineers involved in pattern recognition tasks in various applications.

Correct organization of artificial lighting is very important for creation comfortable living conditions in work places with significant eyestrain, as well as solving the problem of energy efficiency. The purpose of this study is to conduct a comprehensive experimental study of spectral, photometric and electrical characteristics of domestic light sources. Were identified the most and least energy-efficient different light sources in specific circumstances, as well as verification their conformity with the characteristics of the standards SanPiN. In this work were studied incandescent lamps, metal halide, LED, fluorescent and compact fluorescent lamps. According to the results of direct measurements were determined: the directional patterns, the luminous fluxes and energy efficient classes of domestics light sources. All experimental resultants have been summarized in a single table which allows comparing the characteristics of the studied domestic light sources. It was founded that measured values for some of the light sources differ from those stated by the manufacturer, which was noted in compact fluorescent lamps. Analysis of the results allowed us to determine the feasibility of the specific light sources. The results will be useful for the specialists and manufacturers in lighting technology, as well as ordinary users.