Deterministic Systems

Necessary conditions for optimality of movable control and optimal sliding modes

Yu. V. Orlov

Moscow

Abstract: With reference to systems described by a heat conductivity equation the paper describes optimal control in the class of mobile and distributed signals. Functional analysis methods lead to necessary optimality conditions in that class. For problems with a mobile source of control the optimal process is shown to be generally realizable by sliding modes.

UDC: 62-505


Received: 19.07.1982

 English version: Automation and Remote Control, 1984, 45:8, 1027–1033

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