A Statistical Study on the Response of Nonlinear Control Systems Subjected to a Non-Stationary Random Input

Abstract

In the previous paper, the authors described the statistical studies on the response of nonlinear control systems subjected to an ergodic stationary Gaussian random input. This paper is devoted to the fundamental approaches to the non-stationary random time series which are considered to arise quite often for the automatic control systems in practice. Firstly, the response of nonlinear control systems subjected to a non-stationary random signal is evaluated. Secondly, for an example, a non-stationary Orenstein-Uhlenbeck process which is obtained by using the method of Fokker-Planck is treated. Detail illustrations are shown by several examples.