Infopaket

Applied Problems of Stability and Control

ВК.2.02

Вибіркова дисципліна для ОП

First

2024/2025

6 Semester

4

LO 18. Communicate effectively on information, ideas, problems and solutions with professionals and society. PLO 21.2. Understand the main areas of applied mathematics and computer science, to the extent necessary for the development of general professional mathematical disciplines, applied disciplines and the use of their methods in a chosen profession. PLO 24.2. Be able to apply professional knowledge, skills and abilities in the field of applied mathematics and computer science for research of real processes of different nature.

Full-time form

1. Successful mastering of the following disciplines: 1) Mathematical analysis. 2) Functional analysis. 3) Linear algebra 4) Differential equations. 5) Control theory 2. Knowledge: 1. Theoretical foundations and methods of construction, verification, and the study of quantitative and qualitative properties of mathematical models. 2. Principles of analysis and optimization of control systems. 3. Numerical methods for finding solutions of differential equations and systems of differential equations. 3. Skills: 1. Solve the basic problems of differential equations theory. 2. Research the properties of functions. 3. Formulate and solve the main problems of control theory. 4. Apply methods of matrix theory. 4. Possession of: 1. Basic skills in programming and using application packages. 2. Skills of analysis and solving problems of mathematical modeling using algebraic approaches, methods of mathematical and functional analysis, and operations research.

The aim of the course is for students to master constructive approaches to the analysis and control of systems using methods of stability theory and control theory. It involves learning the formulation of problems, the theoretical foundations of stability theory and control theory, and their applications.

1. Harashchenko F.H., Pichkur V.V. Prykladni zadachi teorii stiikosti. – K.: VPTs «Kyivskyi universytet», 2014. – 142 p. 2. Pichkur V.V., Kapustian O.V., Sobchuk V.V. Teoriia dynamichnykh system. – Lutsk: Vezha-Druk, 2020. – 348 p. 3. Khalil H.K. Nonlinear systems. – NJ.: Prentice Hall, 2002. – 766 p. 4. Bashniakov O.M., Harashchenko F.H., Pichkur V.V. Praktychna stiikist, otsinky ta optymizatsiia. – K.: Kyivskyi universytet, 2008. – 383 p. 5. Bashniakov O.M., Pichkur V.V. Zadacha syntezu v teorii keruvannia: Navchalnyi posibnyk. – K.: Vyd-vo «Stal», 2012. – 116 p. 6. Samoilenko A.M., Perestiuk M.O., Parasiuk I.O. Dyferentsialni rivniannia. – K.: Lybid, 2003. – 600 p.

Lectures, classes, self-study, study of the recommended sources, homework.

Semester assessment: The maximum number of points a student can obtain is 100 points: 1. Midterm test №1: 30/18 points. 2. Midterm test №2: 30/18 points. 3. Independent work №1: 10/6 points. 4. Independent work №2: 10/6 points. 5. Continuous assessment: 20/12 points.

Ukrainian