Linear problem of tracking a given motion under an integral constraint on control |
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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: | We consider the problem of optimally tracking a given vector function by means of a generalized projection of the trajectory of a linear controlled object with an integral constraint on the control. The deviation from a given motion is measured in the metric of the space C m [0, T] of continuous vector functions of appropriate dimension m. We describe a constructive method for solving this optimization problem with a given accuracy. |
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