The synthesis of phase-locked frequency systems is based on a two-stage optimization procedure. This makes it possible to apply the combined maximum principle to construct a model of the signal phase dynamics under conditions of structural uncertainty of regular effects. The estimation equations in the form of a two-point boundary value problem are obtained using the discrete maximum principle Of L. S. Pontryagin, and a recurrent estimation algorithm is obtained using the invariant immersion method. The efficiency of the synthesized phase-locked frequency system was evaluated on the basis of mathematical modeling in comparison with the traditional one by the criteria of convergence rate and accuracy.

Keywords: synthesis, phase auto-tuning of frequency, the maximum principle of L. S. Pontryagin, the maximum condition of the generalized power function

A method for the intellectualization of measurement procedures has been developed. It is based on the step-by-step optimization procedure, which provides a reduction of the stochastic estimation problem to a number of deterministic problems. The task of the first stage of optimization is the synthesis of an adaptive mathematical model of the measuring process based on the combined principle of maximum, which, unlike the known methods, will ensure the constructiveness of its use in the next stages of optimization. The task of the subsequent stages of optimization is to solve the estimation problem based on the regularization method A.N. Tikhonov. Equations of an iterative measurement procedure are obtained that differ from the state transition vector functions known in structure. It belongs to the category of intelligent measuring procedures, since it makes a targeted choice of the closest to the true value of the assessment of the measured parameter in the conditions of structural uncertainty of the model of the studied object and parametric uncertainty of the observation model.

Keywords: two-stage synthesis, intellectualization, the combined principle of maximum, regularization

Dynamic synthesis filter problem is presented in the form of the optimal control problem. The solution is obtained based on theorem of the maximum function of the generalized forces and the transformation equations of motion based on a characteristic of the Lagrangian analysis of the trajectories in the phase space-stve. It allows you to build Quasideterministic-ing model managed movement which admits repents representation as a quasi-linear. Syn-thesis Unity equation of the optimal filter dy-namic motion estimation parameters differs from the known feedback design. Abstract transient and stable operation is designed filter. Comparisons conducted with the results that are obtained using adaptive algorithm for esti-mating the moving Kaufman and alpha-β filter. On the basis of mathematical modeling showed that the evaluation of the filter have a higher accuracy at a lower cost computing.

Keywords: kinetic potential, optimal filter, the combined maximum principle.

Universal method of optimal control synthesis offers a versatile method for the synthesis of optimal controls provides a solution to the synthesis problem for the class of piecewise constant functions for Lagrangian dynamical systems, the shape of the control law depends only on the structure of the cost functional and does not depend on the structure of the existing system of generalized forces. The effectiveness of the method is confirmed by a minimum of computational costs, as well as the maximum rate of convergence and accuracy to achieve the desired trajectory in comparison with the known solution for example has become a test for testing various control methods for the synthesis problem of a simple pendulum.

Keywords: combined maximum principle, optimal control, mathematical pendulum

An original mathematical model describing different activities of actors in the vertical marketing system is presented. They are a provider, a agent, a trading enterprise are presented as a controlling subjects. The model is based on the game-theoretical and hierarchical approach. An equilibrium of Germeyer G1 game in terms of sustainable development is established. The method of impulsion is used as a method of hierarchical control to solve this model. The main system operation laws based on numerical experiments are presented.

Keywords: game theory, hierarchical, three-level control system, method of impulsion

We propose a method for constructing of algorithm of smooth management by the hydraulic actuator  based on the method of combining the maximum principle. Such management increases the accuracy and non-failure operation of operation of the device

Keywords: the integrated principle of a maximum, management, the hydraulic actuator, synthesizing function, management synthesis, asynchronous variation

Information about authors of issue (№1 2014)

Keywords: authors

Consideration of effective many contour of automatic control systems in the process of gasoline recuperation, describes the case for the selected controller primary efficacy (the temperature inside the adsorber)

Keywords: multicircuit automatic control system, kasadnaya control system, the control system with feedforward compensation,  quality criteria efficiency of automatic control system

The article is concerned with problems of modern electrohydraulic converters control systems used to adjust wicket gate of Kaplan turbine. Linearized model of wicket gate servomotor is considered. Algorithm for online identification of parameters of servomotor is considered. Algorithm is based on recurrent least squares method. Algorithm for adaptive PI-regulator tunning is based on online optimization of functional of generalised work (FGW). Model experiments using real data show reducing maximum control error of servomotor position from 20 % to 1 %. Also methods for servomotor state diagnostic are considered.

Keywords: adaptive control system, diagnostic system, Kaplan turbine wicket gate, linearized models, identification, recurrent least square, functional of generalised work

At present, the development of algorithms is particularly relevant high-level analysis of video sequences, including tracking of objects in a video stream and their implementation in information and communication systems. In the proposed approach the pretreatment step uses optical flow calculation for each frame video sequence, as well as low-level features (such as a representation of each pixel in the color space YIU). For moving objects optical flow is more important than for a stationary background and allows you to find the foreground objects in video sequences and adjust the weighting function in determining the histogram similar to the adjacent frames, taking into account the motion of objects.

Keywords: computer vision, tracker, tracking of object, optical flow, motion tracking

The paper reports on dynamical model of optimal biological resource exploitation with corruption. Particularly, it is allowed a fish quota increase after paid a bribe. The research has been realized with the sustainable development conception by the Pontryagin's maximum principle. A time moment, where the bribe is profitable, is considered. Fight corruption methods are presented.

Keywords: Mathematical model, optimal exploitation, corruption

Information about authors of issue №1 (2011)

Keywords: authors