Abstract:
A linear control system defined by a stationary differential equation of nth order with several commensurate lumped and distributed
delays in state 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 commensurate lumped and distributed
delays is studied. Necessary and sufficient conditions are obtained for
solvability of the arbitrary spectrum assignment problem by static output feedback controller. Corollaries on stabilization of the system are obtained.
This research was funded by the Ministry of Science and Higher Education of the Russian Federation in the framework of state assignment No. 075-00232-20-01, project 0827-2020-0010 “Development of the theory and methods of control and stabilization of dynamical systems” and by the Russian Foundation for Basic Research, project 20-01-00293.
Citation:
V. A. Zaitsev, I. G. Kim, “Spectrum assignment in linear systems with several commensurate lumped and distributed delays in state by means of static output feedback”, Izv. IMI UdGU, 56 (2020), 5–19
\Bibitem{ZaiKim20}
\by V.~A.~Zaitsev, I.~G.~Kim
\paper Spectrum assignment in linear systems with several commensurate lumped and distributed delays in state by means of static output feedback
\jour Izv. IMI UdGU
\yr 2020
\vol 56
\pages 5--19
\mathnet{http://mi.mathnet.ru/iimi398}
\crossref{https://doi.org/10.35634/2226-3594-2020-56-01}
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https://www.mathnet.ru/eng/iimi398
https://www.mathnet.ru/eng/iimi/v56/p5
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