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Section
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Mathematics
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Title
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To the problem of modal control for linear systems of neutral type
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Author(-s)
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Khartovskii V.E.a,
Pavlovskaya A.T.a
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Affiliations
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Grodno State Universitya
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Abstract
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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.
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Keywords
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the systems of neutral type, modal controllability, the difference-differential feedback control
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UDC
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517.977
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MSC
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93B05, 93С15
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DOI
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10.20537/vm130414
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Received
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6 November 2013
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Language
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Russian
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Citation
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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.
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References
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- 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.
- 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.
- 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.
- 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.
- 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.
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Full text
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