Abstract
The problem of dynamic reconstruction of the normal control generating some trajectory of a dynamic control system is considered in this paper. Known inaccurate measurements of the realized trajectory, which arrive in real time, are used. A class of dynamic control systems with dynamics linear in controls and nonlinear in state variables is considered. The dimension of the control parameter is supposed to be greater than or equal to the dimension of the state variables vector. A new algorithm for solving dynamic control reconstruction problem for this class of dynamics is suggested. The material presented in this paper continues the study of a new approach for solving inverse problems of optimal control theory. The feature of this approach is using constructions based on the necessary conditions of optimality in auxiliary variational problems on extremum of a convex-concave integral functional. An example with a model from the area of medicine is exposed.
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