Input-Output cross-correlation functions for some memory-type nonlinear systems with Gaussian inputs

IN a previous paper1 the author described the application of the method of quasi-linearization (that of Booton2) to the determination of input-output cross-correlation functions for relay servomechanisms. Experimental verification of the validity of this analysis was presented in the form of analog-computer simulation results for several specific configurations. The present work is an extension of the earlier effort, presenting the results for simulated systems with memory-type nonlinearities. The theoretical analysis of the memory-type system is accomplished by combining quasi-linearization with a well-known analog-computer technique for generating hysteresis-type nonlinearities by placing nonmemory nonlinearities within closed subloops.