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Control of moving heat sources. (English. Russian original) Zbl 0705.93042
Autom. Remote Control 50, No. 11, 1488-1496 (1989); translation from Avtom. Telemekh. 1989, No. 11, 36-47 (1989).
Summary: The designing of moving controls is considered for a heat source that moves along a path which lies in a bounded region of the plane. The state of the object is described by a two-dimensional heat equation. The problem is solved by substitution and by realizing a distributed control by a moving control. Examples concerning moving controls in the plane are presented.
93C10 Nonlinear systems in control theory
93C20 Control/observation systems governed by partial differential equations
80A20 Heat and mass transfer, heat flow (MSC2010)