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Application of true linearization in stochastic quasi-optimal control problems

The problem of quasi-optimal linear feedback control laws for nonlinear systems with quadratic performance criteria under Gaussian white noise excitations is considered. To determine the quasi-optimal control a modified version of standard iterative procedure is used, where three versions of statistical linearization methods and true linearization method were combined with the optimal control method for linear systems with the mean-square criterion. The validity of this method is shown by analytical and numerical calculations for examples.