Abstract
Stabilization of a family of programmed motions of a linear control system with a first-order nonlinear hybrid state identifier is studied. Such an identifier and a multiprogrammed hybrid control are designed in the form of nonlinear feedback. A theorem on sufficient conditions for the existence of a solution to the formulated problem is proved.
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Zubov, V.I., Interpolation of Systems of Differential Equations, Dokl. Akad. Nauk SSSR, 1991, vol. 318, no. 1, pp. 28–31.
Zubov, V.I., Design of Multiprogrammed Stable Controls, Dokl. Akad. Nauk SSSR, 1991, vol. 318, no. 2, pp. 274–277.
Smirnov, N.V. and Smirnova, T.E., Stabilization of a Family of Programmed Motions of a Bilinear Time-Varying System, Vestn. S.-Peterburg. Gos. Univ., 1998, ser. 1, vol. 2, no. 8, pp. 70–75.
Smirnov, N.V., Multiprogrammed Stabilization of Linear and Bilinear Systems under Incomplete Feed-back, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2001, no. 3, pp. 40–44.
Smirnov, N.V., Synthesis of Multiprogrammed Stable Controls Using the Luenberger Observer, Proc. 11 IFAC Workshop: Control Appl. Optim., 2000, vol. 1, pp. 327–330.
Luenberger, D.G., Observers for Multivariable Systems, IEEE Trans. Automat. Control, 1966, vol. 11, no. 2, pp. 190–197.
Andreev, A.Yu., Upravlenie konechnomernymi lineinymi ob“ektami (Control for Finite-Dimensional Linear Systems), Moscow: Nauka, 1976.
Zubov, V.I., Matematicheskie metody issledovaniya sistem avtomaticheskogo regulirovaniya (Mathematical Research Methods for Automatic Control Systems), Leningrad: Mashinostroenie, 1974.
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Original Russian Text © N.V. Smirnov, 2006, published in Avtomatika i Telemekhanika, 2006, No. 7, pp. 41–52.
This paper was recommended for publication by L.B. Rapoport, a member of the Editorial Board
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Smirnov, N.V. A complete-order hybrid identifier for multiprogrammed stabilization. Autom Remote Control 67, 1051–1061 (2006). https://doi.org/10.1134/S0005117906070046
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DOI: https://doi.org/10.1134/S0005117906070046