phone +7 (3412) 91 60 92

Archive of Issues

Belarus Grodno
Section Mathematics
Title To the problem of modal control for linear systems of neutral type
Author(-s) Khartovskii V.E.a, Pavlovskaya A.T.a
Affiliations Grodno State Universitya
Abstract For linear autonomous systems of neutral type with one delay in the state, we develop the method of construction of linear difference-differential feedback controls that ensure modal controllability. In this case, we distinguish the cases of continuous and absolutely continuous solutions. The generalization of these results to a system of this type with multiple commensurate delays is suggested.
Keywords the systems of neutral type, modal controllability, the difference-differential feedback control
UDC 517.977
MSC 93B05, 93С15
DOI 10.20537/vm130414
Received 6 November 2013
Language Russian
Citation Khartovskii V.E., Pavlovskaya A.T. To the problem of modal control for linear systems of neutral type, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, issue 4, pp. 146-155.
  1. Marchenko V.M. Control of systems with aftereffect in scales of linear controllers with respect to the type of feedback, Differential Equations, 2011, vol. 47, no. 7, pp. 1014-1028.
  2. Marchenko V.M., Yakimenko A.A. Modal control of multi-input systems of neutral type with retarded argument, Differential Equations, 2008, vol. 44, no. 11, pp. 1595-1604.
  3. Hale J. Theory of functional differential equations, New York-Heidelberg-Berlin: Springer-Verlag, 1977. Translated under the title Teoriya funktsional'no-differentsial'nykh uravnenii, Moscow: Mir, 1984, 421 p.
  4. Asmykovich I.K. Aperiodic control by linear discrete systems with delay, Aktual'nye zadachi teorii dinamicheskikh sistem upravleniya (Actual problems of the theory of dynamic control systems), Inst. Mat. Akad. Nauk Belorus. SSR, Minsk, Nauka i Tekhnika, 1989, pp. 19-26.
  5. Khartovskii V.E. Complete controllability problem and its generalization for linear autonomous systems of neutral type, Journal of Computer and Systems Sciences International, 2012, vol. 51, issue 6, pp. 755-769.
  6. Khartovskii V.E., Pavlovskaya A.T. Complete controllability and controllability for linear autonomous systems of neutral type, Automation and Remote Control, 2013, vol. 74, issue 5, pp. 769-784.
  7. Khartovskii V.E. Problems of identification and control of the output for time lag systems, Automation and Remote Control, 2011, vol. 72, issue 5, pp. 17-31.
Full text
<< Previous article
Next article >>