Infopaket

Control Theory

ННД.21

Обов’язкова дисципліна для ОП

First

2023/2024

5 Semester

4

LO 1. Demonstrate knowledge and understanding of basic concepts, principles, and theories of fundamental and applied mathematics and use them in practice. LO 9. Build efficient algorithms regarding the accuracy of calculations, stability, speed, and cost of system resources for the numerical study of mathematical models and solutions to practical problems. LO 19. Collect and interpret relevant data and analyze complexities within their specialization to make judgments that reflect relevant social and ethical issues.

Full-time form

1. Successful mastering of the following disciplines: 1) Mathematical analysis. 2) Linear algebra 3) Differential equations. 4) Functional analysis. 5) Operations research 2. Knowledge: 1) Theoretical basis and methods of linear algebra, functional analysis, optimization, and qualitative analysis of systems. 2) Principles of optimization problem-solving. 3. Skills: 1) Solve the basic problems of linear algebra, mathematical analysis, and differential equations. 2) Do research on qualitative characteristics of systems of differential equations. 3) Formulate optimality conditions for different classes of optimization problems. 4) Apply mathematical and functional analysis techniques to functional mappings defined in functional spaces. 4. Possession of: 1) Basic skills in using application packages and programming. 2) Skills of analysis and solving optimization problems using algebraic approaches, methods of mathematical and functional analysis, and operations research.

The purpose of the discipline consists of teaching students the basics of control theory, basic problem statements, definitions, and theorems of control theory, and general methods of solving the basic problems of control theory.

1. Bashniakov O.M., Pichkur V.V. Zadacha syntezu v teorii keruvannia: Navchalnyi posibnyk. – K.: Vyd-vo «Stal», 2012. – 116 s. 2. Aleksandrov V.V., Boltyanskij V.G., Lemak S.S., Parusnikov N.A., Tihomirov V.M. Optimal'noe upravlenie dvizheniem. – M.: Fizmatlit, 2005. – 276 s. 3. Blagodatskih V.I. Vvedenie v optimal'noe upravlenie. – M.: Vysshaya shkola, 2001. – 239 s. 4. Bublik B.N., Kirichenko N.F. Osnovy teorii upravleniya. – K.: Vyshcha shkola, 1975. – 328 s. 5. Vasil'ev F.P. Chislennye metody resheniya ekstremal'nyh zadach. – M.: Nauka, 1980. –520 s. 6. Egorov A.I. Osnovy teorii upravleniya. – M.: Fizmatlit, 2004. -504 s. 7. Li E.B., Markus L. Osnovy teorii optimal'nogo upravleniya. – M.: Nauka, 1972. – 576 s. 8. Fleming U., Rishel R. Optimal'noe upravlenie determinirovannymi i stohasticheskimi sistemami. – M.: Mir, 1978. - 316 s.

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

Semester assessment: The perfect score that can be obtained by a student is 60 points: 1. Test work №1: 20/12 points. 2. Test work №2: 20/12 points. 3. Homework, current assessment: 20/12 points. Final assessment (in the form of an exam): - Perfect score that can be obtained by a student: 40 points. - Form of conducting: written work. - Types of tasks: 5 written tasks (3 theoretical questions and 2 practical tasks). - A student receives a positive grade in the discipline if his grade for the exam is not less than 24 (twenty-four) points. - A student is admitted to the exam if during the semester he: 1) scored a total of at least 36 points; 2) performed and timely passed 2 tests from the list of proposed works.

Ukrainian