On a linear problem of tracing a given motion |
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Authors: | M. S. Nikol’skii |
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Affiliation: | 1.Steklov Mathematical Institute,Russian Academy of Sciences,Moscow,Russia |
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Abstract: | In the present paper, we consider the problem on the optimal tracing of a given vector function with the use of a generalized projection of the trajectory of a linear plant. The deviation of a given motion is measured in the metric C m [0, T] of continuous vector functions of the corresponding dimension m. We suggest an efficient method for the construction of an approximate solution of this optimization problem with given accuracy. |
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