## A Method for Analyzing Nonlinear Closed-loop Control Systems with Stationary Stochastic Inputs |

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### Contents

ANALYSIS OF A MORE GENERAL CLASS OF NONLINEAR SYSTEMS | 30 |

CONCLUDING REMARKS | 37 |

REFERENCES 145 | 45 |

### Common terms and phrases

ai(o analog signals analysis approximate expression Block diagram CLASS OF NONLINEAR complex s plane computation process computed from equation cross-correlation decreases defined domain of definition dominant root double integrator equation 55 error signal evaluated following relationship forward loop Gaussian distributed Graduate Division Hermite polynomial input and output input autocorrelation function input statistics integer interception problem interval inverse Laplace transform iteration process J-oo l)th row linear gain matrix matrix inversion mean white Gaussian mean-square error Mehler's expansion method for finding minimize the mean-square nonlinear device normalized input autocorrelation notation obtained odd function output autocorrelation function power series PU(T pulse approximation quantities rectangular rectangular-pulse approximation root-mean-square value RU(T RX(T Ry(r Ry(T series in terms spectral densities square matrix static response stationary stochastic input Substituting symmetry system's input TI(S two-sided Laplace transform uncorrelated white Gaussian noise Wiener filter written zero mean white