Search for: [Abstract = "A stable non stationary linear system is considered. A quality criterion is represented by a functional in the integral form of the sum of positive polynomiaes with respect to the state variables and squared control. lt is proved that the optima\[ control is an irrational function of polynomial depending on the state variables. The minimum value of performance index can have two forms\: the hyperelliptic integral or polynomial depending on the initial state."]

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