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報告題目：Modeling and optimizing complicated technical objects using models of variable structure

報告時間：2024年4月23日（星期二）15:00--17:00

報告地點：理學院B315

主辦單位：理學院

報告人：Aleksandr Galkin

報告人簡介：

Alexander Galkin received the degree in Applied Mathematics in 2005 in Lipetsk State Technical University (diploma with honor). In 2008,he made his promotion as a Candidate of Technical Sciences with the thesis “Modeling of Inertial-Impulse Objects using Composite Systems of Differential Equations”. His scientific fields of interest are connected with mathematical modeling of distributed systems, technological processes, technical systems and economic systems. Currently he specializes in study of complex mathematical models of variable structure.

報告內容簡介：

The report provides an example of constructing a mathematical model of an inertial torque transformer. The mathematical model is presented by a system of variable structure consisting of 4 systems of nonlinear differential equations. Depending on the execution of the specified conditions, the operation of the object takes place in accordance with one of these systems. The solution of the model equations is given. The next task discussed in the report is the optimization of device parameters based on a criterion depending on the results of calculating the functioning of an object based on its mathematical model. The method to solve this problem is given, as well as its modification, which makes it possible to increase the efficiency of the solution.