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

  • A. V. Arsirii
  • A. V. Plotnikov


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.
How to Cite
Arsirii, A. V., and A. V. Plotnikov. “Systems of Control over Set-Valued Trajectories With Terminal Quality Criterion”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 8, Aug. 2009, pp. 1142-7,
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