Journal of Automation and Information Sciences

ISSN for PRINT: 1064-2315

For Online Access

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2002, Volume34

Issue 5

66 pages

Issue price - $221.00

Elena A Kapustyan
Kyiv National Taras Shevchenko University, Ukraine

Alexander G. Nakonechny
Kyiv National Taras Shevchenko University, Kyiv, Ukraine

We consider the problems of minimax estimation of linear functionals from solutions of boundary-value problem for parabolic equations at pointwise observations. At first, the case of separate error restrictions is considered. Such problem is equivalent to the optimal pulse control problem. We obtain the results of minimax estimation in the problem when measurements are taken from some ellipsoid (a-minimax estimations). We suggest an approach for finding the approximating a₀-minimax estimations which save a feature of the theorem about representation. One is to solve the problem of optimal control and the problem of one-dimensional optimization to find these estimations.

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