Abstract
For the linear stationary nonuniform system of control the conditions are laid down for the passage of the system trajectory through an arbitrary number of check points and values are preset for the control function and its derivatives at check points. Functions of the state and control that exponentially decrease at t → t8 are built up.
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Zubova, S.P., Raetskaya, E.V., and Le Hai Trung, On Polynomial Solutions of the Linear Stationary Control System, Autom. Remote Control, 2008, no. 11, pp. 1852–1858.
Shumilov, V.F., A Smooth Operation Mode Docking Control for Technological Processes, Autom. Remote Control, 2006, no. 7, pp. 1062–1069.
Raetskaya, E.V., Conditional Controllability and Observability of Linear Systems, Cand. Sci. (Phys.-Math.) Dissertation, Voronezh: Voronezh. Gos. Univ., 2004.
Krasovskii, N.N., Teoriya upravleniya dvizheniem (Theory of Movement Control), Moscow: Nauka, 1968.
Subov, V.G., Mekhanika (Mechanics), Moscow: Nauka, 1978.
Kagan, V.F., Osnovaniya teorii opredelitelei (Basis of the Theory of Determinants), Odessa: Gos. Izd. Ukrainy, 1992.
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Original Russian Text © S.P. Zubova, Tran Thanh Tuan, 2010, published in Avtomatika i Telemekhanika, 2010, No. 11, pp. 29–37.
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Zubova, S.P., Tuan, T.T. Development of a fast decreasing solution of the nonuniform system in the presence of check points and conditions for control. Autom Remote Control 71, 2283–2290 (2010). https://doi.org/10.1134/S0005117910110020
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DOI: https://doi.org/10.1134/S0005117910110020