ABOUT THE DATABASE OF LINEAR DESCRIPTOR SYSTEMS IN CONTROL THEORY

UDC 519.71

  • Asmykovich Ivan Kuzmich – PhD (Physics and Mathematics), Associate Professor, Assistant Professor, the Department of Higher Mathematics. Belarusian State Technological University (13a, Sverdlova str., 220006, Minsk, Republic of Belarus). E-mail: asmik@tut.by

  • Sidorchik Dmitry Evgenievich – Senior Lecturer, the Department of Automation of Production Processes and Electrical Engineering. Belarusian State Technological University (13a, Sverdlova str., 220006, Minsk, Republic of Belarus). E-mail: dmitrysidorhik@gmail.com

  • Korolyov Artyom Andreevich – Assistant Lecturer, the Department of Automation of Production Processes and Electrical Engineering. Belarusian State Technological University (13a, Sverdlova str., 220006, Minsk, Republic of Belarus). E-mail: artem_korolev13@mail.ru

DOI: https://doi.org/10.52065/2520-6141-2023-266-1-1

Keywords: Bibliographic index, control theory, descriptor systems, database.

For citation: Asmykovich I. K., Sidorchik D. E., Korolyov A. A. About the database of linear descriptor systems in control theory. Proseedings of BSTU, issue 3, Physics and Mathematics. Informatics, 2023, no. 1 (266), pp. 5–9. DOI: https://doi.org/10.52065/2520-6141-2023-266-1-1.

Abstract

The article is devoted to the results of many years of work on collecting publications on a special class of linear mathematical models in the qualitative theory of dynamic control systems – descriptor systems, which a number of authors call differential-algebraic, or singular, or unresolved with respect to the derivative, or hybrid. The bibliographic index is compiled on the basis of an analysis of publications in numerous journals on mathematical control theory, abstract journals, specialized Internet information resources, and lists of cited works. For the convenience of working with the index, a database has been compiled that allows you to quickly find the works of a particular author, the distribution of publications by year, works on special tasks for descriptor systems of various types. The database is implemented in the Microsoft Access DBMS and contains three tables “Journals”, “Authors”, “Literature”.

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References

  1. Gabasov R. Kirillova F. M., Marchenko V. M., Asmykovich I. K. Teoriya upravleniya dvizheniyem. Ch. I. Lineynyye konechnomernyye sistemy: bibliogr. ukazatel’ [Theory of motion control. Part I. Linear finite-dimensional systems: bibliographic index]. Minsk, 1983. 132 p. (In Russian).
  2. Gabasov R. Kirillova F. M., Marchenko V. M., Asmykovich I. K. Teoriya upravleniya dvizheniyem. Ch. II. Nelineynyye i beskonechnomernyye sistemy: bibliogr. ukazatel’ [Theory of motion control. Part II. Nonlinear and infinite-dimensional systems: bibliographic index]. Minsk, 1983. 87 p. (In Russian)
  3. Asmykovich I. K., Gabasov R., Kirillova F. M., Marchenko V. M. Problems of control of finite-dimensional systems. Avtomatika i telemekhanika [Automation and Telemechanics], 1986, no. 11, pp. 5–29 (In Russian).
  4. Polyak B. T., Shcherbakov P. S. Difficult problems of linear control theory. Avtomatika i telemekhanika [Automation and Telemechanics], 2005, no. 5, pp. 7–46 (In Russian).
  5. Luzin N. H. On the study of the matrix theory of differential equations. Avtomatika i telemekhanika [Automation and Telemechanics], 1940, no. 5, pp. 4–66 (In Russian).
  6. Shmoilov V. I., Korovin Ya. S., Voitulevich V. Yu. Nepreryvnyye drobi: bibliogr. ukazatel' [Continuous fractions: bibliographic index]. Saarbruken, Germany, Lap Lambert Academic Publishing, 2017. 560 p. (In Russian).
  7. Akhundov A. A. Review of some results on the theory of linear differential equations unsolvable with respect to the derivative. Mathematical control theory. Warsaw, Banach Contr. Publ., 1985, vol. 14, pp. 7–16 (In Russian).
  8. Dai L. Singular Control Systems. Lecture Notes in Control and information Sciences. Berlin, SpringerVerlag Publ., 1989, vol. 118. 439 p.
  9. Boyarintsev Yu. E. Lineynyye i nelineynyye algebro-differentsial'nyye sistemy [Linear and non-linear algebraic-differential systems]. Novosibirsk, Nauka Рubl., 2000 (In Russian).
  10. Feng Yu, Yagoubi M. Robust Control of Linear Descriptor Systems. Singapore, Springer Publ., 2017.
  11. Ilchmann A., Reis T. Surveys in Differential-Algebraic Equations I-IV Differential-Algebraic Equations Forum. Berlin; Heidelberg, Springer Publ., 2013–2017.
  12. Belov A. A., Kurdyukov A. P. Deskriptornyye sistemy i zadachi upravleniya [Descriptor systems and control problems]. Moscow, Fizmatlit Publ., 2015. 272 p. (In Russian).
  13. Gabasov R., Kirillova F. M., Asmykovich I. K. (comp.). Deskriptornyye sistemy upravleniya: bibliogr. ukaz. [Descriptor control systems: bibliographic index]. Minsk, 1988. 38 p. (In Russian).
  14. Asmykovich I. K. On the development of a database of publications on descriptor systems [Information technologies: materials of the 84th scientific and technical. conf. faculty, researchers and graduate students (with international participation)]. Minsk, 2020, pp. 139–140 Available at: https://elib.belstu.by/hendle/123456789/3357 (accessed 03.10.2022)
  15. Descriptor control systems: bibliographic index / comp. I. K Asmykovich. Minsk, BGTU, 2022. 343 p. Available at: https:4elib.belstu.by/handle/123456789/49572 (accessed 03.10.2022)
  16. Debeljkovic D. Lj., Buzurovic I. M. Lyapunov Stability of Linear Continuous Singular Systems: An Overview. International Journal of Information & System Science (Canada), 2011, vol. 7, no. 2–3, pp. 247–268.
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