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Journal of Automation and Information Sciences

Выходит 12 номеров в год

ISSN Печать: 1064-2315

ISSN Онлайн: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Sequential Composition and Decomposition of Descriptor Control Systems

Том 50, Выпуск 9, 2018, pp. 60-75
DOI: 10.1615/JAutomatInfScien.v50.i9.50
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Краткое описание

To analyze complex linear descriptor control systems described by relations unsolved with respect to the state derivative there is performed their decompositions into chains of simpler systems. In terms of invariant pairs of subspaces of characteristic and perturbed operator pencils of the system we establish the conditions to represent the system as a series connection of systems of smaller dimensions. The results are illustrated by examples of descriptor systems that describe transient modes in radiotechnical filters.

ЛИТЕРАТУРА
  1. Kalman R., Falb P., Arbib M., Topics in mathematical system theory [Russian translation], Mir, Moscow, 1971.

  2. Bender D.J., Laub A., The linear-quadratic optimal regulator for descriptor systems, IEEE Transactions on Automatic Control, 1987, AC-32, No. 8, 672–688.

  3. Duan G.R., Analysis and design of descriptor linear systems, Springer, New York, Dordrecht, Heidelberg, London, 2010.

  4. Vlasenko L.A., Rutkas A.G., Chikrii A.A., On a differential game in an abstract parabolic system, Proceedings of the Steklov Institute of Mathematics, 2016, 293 (Suppl. 1), 254–269.

  5. Vlasenko L.A., Rutkas A.G., Optimal control of undamped Sobolev-type retarded systems, Mathematical Notes, 2017, 102, No. 3, 297–309.

  6. Glazman I.M., Lyubich Yu.I., Finite dimensional linear analysis [in Russian], Nauka, Moscow, 1969.

  7. Anderson J., Teixeira A., Sandberg H., Papachristodoulou A., Dynamical system decomposition using dissipation inequalities, Proc. of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011, Orlando, FL, ISSSN 0743-1546, 211–216.

  8. Gantmaher F.R., Matrix theory [in Russian], Nauka, Moscow, 1969.

  9. Rutkas A.G., Cauchy problem for equation <i>Ax'(t)&#43;Bx(t)&#61;f(t)</i>, Differentsialnyye uravneniya, 1975, 11, No. 11, 1996–2010.

  10. Vlasenko L.A., Evolutionary models with implicit and degenerate differential equations [in Russian], Sistemnyye tekhnologii, Dnepropetrovsk, 2006.

  11. Livshits M.S., Operators, oscillations, waves (open systems), Providence, R.I., American Mathematical Society, 1973.

  12. Efimov A.V., Potapov V.P., <i>J</i>-expanding matrix functions and their role in analytical theory of electric circuits, Uspekhi matematicheskih nauk, 1973, 28, No. 1 (169), 65–130.

  13. Gillemin E.A., Synthesis of passive circuits [in Russian], Svyaz’, Moscow, 1970.

  14. Semenets V.V., Stytcenko T.E., Analysis of electromagnetic environment and modeling of spurious radiation sources, Telecommunications and Radio Engineering, 2016, 75, No. 15, 1385–1396.

ЦИТИРОВАНО В
  1. Vlasenko L. A., Rutkas A. G., Semenets V. V., Chikrii A. A., Stochastic Optimal Control of a Descriptor System, Cybernetics and Systems Analysis, 56, 2, 2020. Crossref

  2. Vlasenko L. A., Rutkas A. G., Semenets V. V., Chikrii A. A., Decomposition of Descriptor Control Systems, Cybernetics and Systems Analysis, 56, 6, 2020. Crossref

  3. Vlasenko L. A., Rutkas A. G., Semenets V. V., Chikrii A. O., On a Descriptor Pursuit Game*, Cybernetics and Systems Analysis, 57, 6, 2021. Crossref

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