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Modeling a mobile control in distributed-parameter two-dimensional systems. (English. Russian original) Zbl 0753.93035
Sov. J. Comput. Syst. Sci. 28, No. 3, 57-66 (1990); translation from Izv. Akad. Nauk SSSR, Tekh. Kibern. 1989, No. 6, 68-77 (1989).
Summary: A. G. Butkovskij, V. A. Kubyshkin, A. G. Smirnov, E. S. Tverdokhlebov and E. P. Chubarov [Telemekh. 1984, No. 9, 52-61 (1984; Zbl 0558.93048)] and A. G. Butkovskij, V. A. Kubyshkin, E. S. Tverdokhlebov and E. P. Chubarov [ibid. 1983, No. 4, 5-12 (1983; Zbl 0521.93038)] propose a substitution method for designing, and a method for realizing distributed controls with the aid of mobile action sources for one-dimensional distributed systems. The goal of this paper is to use and generalize these methods for modeling mobile controls in two-dimensional regions. The results of the paper have a broad field of application but, for specificity, we apply them to a broad class of thermal processes of smelting a metal in an electron-beam intermediate- vessel furnace.
93C10 Nonlinear systems in control theory