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The method for estimation of linear multidimensional dynamic control systems perturbed by only one of the phase coordinates is developed in the paper. Only one phase coordinate without perturbation is available for measurement in the system. A robust algorithm for ellipsoidal estimation is developed, which minimizes the trace of the matrix of ellipsoid that approximates admissible set of point estimates. Application of the method and efficiency of the algorithm are shown on the example of estimating the heading angle of an artificial Earth satellite during its orbital motion. The onboard local vertical reference and angular velocity sensors are used for the estimation. [ABSTRACT FROM AUTHOR]

In the paper we develop a hybrid decision support method in case of dependent decision criteria. It includes methods of decision theory, fuzzy sets, mathematical programming and statistics, which are adapted to different stages of the multicriteria evaluation of alternatives depending on the specific problem being solved and on the quality of the input expert information. The use of the hybrid method is illustrated by the solution of practical problems. [ABSTRACT FROM AUTHOR]

The consistency analysis of experts' judgments in terms of fuzzy interval estimates and interval metric, which underlies the Delphi method, is formalized. This method is implemented using techniques of artificial intelligence and automated tools that allow on-line expert's judgment. [ABSTRACT FROM AUTHOR]

The problem of estimating the functional dependence of time series on the time index is considered in the case of short data sample. The uniform convergence of an empirical risk functional to a theoretical one is proved for the case where the parametric class of regression functions can be partially covered by a finite ε-net for some of its parameters. The functional dependence for the polynomial class of functions is estimated as an example. [ABSTRACT FROM AUTHOR]

The problem of estimating the functional dependence of time series on the time index is considered in the case of short data samples. It is proved that empirical risk functional uniformly converges to the theoretical one in the case where regression functions can be approximated by finite-degree polynomials. An example of estimating the functional dependence for a class of trigonometric functions is presented. [ABSTRACT FROM AUTHOR]

A system strategy of guaranteed safe operation of complex engineering systems is proposed. The strategy is based on timely and reliable detection, estimation, and forecast of risk factors and, on this basis, on timely elimination of the causes of abnormal situations before failures and other undesirable consequences occur. [ABSTRACT FROM AUTHOR]