On the controllability and observability of linear dynamic systems with variable structure

A Model of the Control Problem of the Thermal Effect of a Laser Beam on a Two-Layer Biomaterial

“…. ), and substituting their values together with V(ξ, t) in Equations ( 19) and (20) and in conditions ( 21) and (22), we obtain that the Fourier coefficients V k (t) satisfy a countable number of systems of ordinary differential equations…”

“…Using the approaches given in [18][19][20], we obtain that the control function u(t) for each k = 1, 2, . .…”

“…The mathematical model of the process of laser beam action on a multilayer biological material is described using partial differential heat conduction equations with boundary conditions for the beginning and end of laser heating, boundary conditions for the interaction of the outer layer of biological material and the environment and conjugation conditions between layers. The mathematical models of these objects are characterized as heterogeneous composite systems with distributed parameters; therefore, it is advisable to use methods for investigating the control problems of composite systems (of variable structure), which are addressed, in particular, in [19][20][21][22]. The scientific area of modeling the processes of laser beam impact on a multilayer biomaterial and the study of control problems for such models have not yet been sufficiently investigated in scientific publications.…”

Граничное Управление Некоторой Распределенной Неоднородной Колебательной Системой С Заданными Состояниями В Промежуточные Моменты Времени

“…Задачам граничного управления и оптимального управления распределенными колебательными системами посвящены многие исследования, в частности, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15]. Для распределенной однородной колебательной системы, описываемой однородным волновым уравнением, с многоточечными промежуточными условиями задачи граничного управления рассмотрены в исследованиях [2][3][4][5][6].…”

Fuzzy controllers in the control system of a brushless electric motor using HIL technology

“…By virtue of its fuzzy inference provides a parallel interpretation of knowledge through special highperformance hardware. In conjunction with the implementation of complex nonlinear transformations based on fuzzy logic, it can be concluded about the prospects of the creation of technology-based intellectual fuzzy logic of a new type of high-speed nonlinear controllers -fuzzy controllers for objects with a high degree of controllability, such as [10][11][12].…”