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Russia Izhevsk
Year
2020
Volume
30
Issue
2
Pages
208-220
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Section Mathematics
Title Spectrum assignment and stabilization of linear differential equations with delay by static output feedback with delay
Author(-s) Zaitsev V.A.a, Kim I.G.a
Affiliations Udmurt State Universitya
Abstract A linear control system defined by a stationary differential equation with one lumped and one distributed delay is considered. In the system, the input is a linear combination of $m$ variables and their derivatives of order not more than $n-p$ and the output is a $k$-dimensional vector of linear combinations of the state and its derivatives of order not more than $p-1$. For this system, a spectrum assignment problem by linear static output feedback with delays is studied. Necessary and sufficient conditions are obtained for solvability of the arbitrary spectrum assignment problem by static output feedback controller of the same type as the system. Corollaries on stabilization of the system are obtained.
Keywords linear differential equation, lumped delay, distributed delay, spectrum assignment, stabilization, static output feedback
UDC 517.929, 517.977
MSC 93B55, 93B52, 93D20, 93C15, 93C05, 34H15
DOI 10.35634/vm200205
Received 1 May 2020
Language English
Citation Zaitsev V.A., Kim I.G. Spectrum assignment and stabilization of linear differential equations with delay by static output feedback with delay, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2020, vol. 30, issue 2, pp. 208-220.
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