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Substitution method for calculating distributed control functions. (English. Russian original) Zbl 0558.93048
Autom. Remote Control 45, 1143-1151 (1984); translation from Avtom. Telemekh. 1984, No. 9, 52-61 (1984).
We consider a method of calculating a distributed control signal which achieves a given state of the plant being controlled, and subsequently maintains it. The signal is determined directly from the state equation of the plant by substituting into it a specially selected function. This function aligns the initial and boundary conditions with a specified state of the plant. Several examples of calculating distributed controls are discussed.

93C20 Control/observation systems governed by partial differential equations
35A25 Other special methods applied to PDEs
49J30 Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)
35K05 Heat equation
93C05 Linear systems in control theory