Deterministic Systems

Conditional variational problems of control for distributed-parameter systems

V. Yu. Tertychny-Dauri

St. Petersburg State University of Information Technologies, Mechanics and Optics

Abstract: Solved was a number of the classical variational problems of control of the distributed-parameter dynamic systems constrained also by nondifferential and differential equations. The corresponding rules of the Lagrange multipliers were formulated and proved. For the generalized diffusion and generalized wave processes, the results obtained were applied to the conditional variational problems of distributed optimal control. Derivation of the Euler–Poisson and Euler equations as applied to the designed control system was substantiated for these problems.

PACS: 45.10.Db

Presented by the member of Editorial Board: B. T. Polyak

Received: 11.12.2006

 English version: Automation and Remote Control, 2008, 69:11, 1873–1891

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