This paper suggests a speed boosting technique for system area networks in massive parallel multiprocessor computers by decreasing the diameter and increasing the throughput of a pair of opposite simplex rings (a duplex ring), a couple and quadruple of such rings. The result is achieved through replacing a duplex ring with a pair of minimal switched multidimensional rings with different steps in each ring. The decreased diameter and increased throughput of rings appreciably reduce packet delivery delays in system area networks based on the pairs of such rings.

Consideration was given to the issues of computer-aided construction of the workspace of the free-flying space handling robot controlled in the class of feedback systems. In particular, a case was discussed where the information about the direction and distance to the target is acquired with the use of a camcorder with built-in range finder mounted on a gimbal attached to the robot body. The analytical relations obtained enable one to solve the problems of injecting the space robot into the zone of target location and maintaining the desired orientation of the body relative to the direction to the target. The proposed approach to the problem of generation of the workspace was implemented as a computer algorithm in the Matlab-Simulink environment. Operability of the algorithm was exemplified an arbitrary initial configuration of the robot.

Consideration was given to the main issues concerning development of a flexible modeling complex for the operator support system of a UPP power-generating unit with VVER reactor, as well as to the model for calculation of the dynamics of the neutron-physical parameters of the VVER-1000 core with the aim of using it in the flexible modeling complex.

We propose a model of proliferative growth for a plant type cell structure, in which cell division is governed by two activating hormones. The model adequately reproduces all basic features of a whole plant’s growth. This allows to consider the HR-model as the first, though very much simplified, model of vegetative growth of a multicellular terrestrial plant governed by the gradients of endogenous phytohormones. We built out a software package for interactive model computations and present here modeling results.

In the nonlinear problems of optimal control, a nonlocal improvement procedure with a linear Skolem’s function was constructed for the continuous and discrete systems on the basis of V.F. Krotov’s theory of sufficient optimality conditions. Examples, including improvements of the singular and nonsingular Pontryagin extremals, were given.