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The problem of reconstruction of an unknown control through inaccurate measurement of current phase state for a system with time delay is considered. A procedure for solving the problem is suggested. This procedure is stable with respect to informational and computational errors and is based on the well-known in the theory of positional control method of extremal shift. Mathematics Subject Classification: 34A55, 49N45doi:10.12988/ams.2015.57466 fatcat:e3vn43vptvdtpmm4bcufguizmi