Deterministic Systems

Necessary conditions of weak extremum for processes with vector delay in the general optimal control problem

V. V. Dicusar, M. A. Monastyrskiĭ, V. N. Mokhov

Moscow

Abstract: The Dubovitsky–Milyutin procedure [1–3] leads to the necessary conditions of weak extremum in the problem with a delayed argument and mixed equality- and inequality- type constraints on phase coordinates and controls. These conditions are in tha shape of the local maximum principle satisfying which is necessary and sufficient for a stationary path in the class of small-magnitude variations.

UDC: 519.3:51, 62-50


Received: 22.03.1974

 English version: Automation and Remote Control, 1975, 36:3, 353–362

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