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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2010 Volume 16, Number 5, Pages 269–277 (Mi timm630)

This article is cited in 2 papers

On Hamilton–Jacobi formalism in time-delay control systems

N. Yu. Lukoyanov

Institute of Mathematics and Mechanics Ural Branch RAS

Abstract: For control problems under disturbances in time-delay systems, methods of defining the value of optimal guaranteed result and optimal control strategies are considered on the basis of generalized solutions of appropriate functional equations of the Hamilton–Jacobi type.

Keywords: time-delay systems, control theory, differential games, dynamic programming, Hamilton–Jacobi equations, minimax solutions, viscosity solutions.

UDC: 517.977

Received: 15.02.2010

Language: English



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