Abstract
In recent years, the non-stationary random processes have attracted considerable attentions in the field of adaptive or self-optimizing control, but little seems to have been done for those cases. In this paper, a very simple but fundamental case of non-stationary random process of response of nonlinear control systems is treated. That is, the analytical study on the evaluation of the response of nonlinear control systems subjected to a suddenly applied stationary random signal is described The two methods are established here by introducing some extensive method of the equivalent linearization technique. A graphical method for evaluating the non-stationary random response is proposed and such procedures are explained by typical examples in detail.
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