Abstract
The a posteriori analysis of the realized motions (e.g. trajectories and controls) is an important part of the theory of optimal control, variational calculus and decision making. This paper is devoted to solving inverse problems of reconstruction of realized controls for dynamic control systems using known history of inaccurate measurements of a realized trajectory. A new method for solving reconstruction problems is suggested for a class of control systems with dynamics linear in controls and non-linear in state coordinates. This method relies on necessary optimality conditions in auxiliary variational problems, providing oscillating solutions. An illustrating example is exposed.
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