2017
Том 69
№ 5

All Issues

Systems of control over set-valued trajectories with terminal quality criterion

Arsirii A. V., Plotnikov A. V.

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Abstract

We consider the optimal control problem with terminal quality criterion in which the state of a system is described by a set-valued mapping, and an admissible control is a summable function. We describe an algorithm that approximates the admissible control function by a piecewise-constant function and prove theorems on the closeness of the corresponding trajectories and the values of quality criteria.

English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 8, pp 1349-1356.

Citation Example: Arsirii A. V., Plotnikov A. V. Systems of control over set-valued trajectories with terminal quality criterion // Ukr. Mat. Zh. - 2009. - 61, № 8. - pp. 1142-1147.

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