We investigate a polling model of a radio-cell of the broadband wireless IEEE 802.11 network. A radio-cell is assumed to work in the ‘‘data collection’’ regime. It is modeled by a polling system with N queues and a single server polling the queues in a cyclic adaptive order. Under adaptive scheme, the server (base station) skips (does not visit) the queues (subscriber stations) which were empty at their polling moments at the previous cycle that allows cutting expenses. In the paper, we present an iterative procedure for calculating the first and second moments of the waiting time in queues and provide numerical examples to compare theoretical results and ones obtained from simulation.

Most of real technical systems and biological objects with sufficiently high organization are complex hierarchical partially controllable systems. In the paper for modeling and analysis of reliability of such systems the method of decomposable semi-regenerative processes is used. A simple example illustrates our approach.

Строится наилучшая эллипсоидальная аппроксимация области притяжения целевого пути в задаче путевой стабилизации колесного робота. Показано, что задача сводится к решению система линейных матричных неравенств. Найдено аналитическое решение системы неравенств.