Solution of the transfer functions and the linear networks by an analog computer

This study presents five methods used to realize a transfer function on analog computer - method of operational amplifiers - method of successive integrations - method of the auxiliary variable - method of the Horner decomposition - method of the direct analog transposition. The method that seems to us the most interesting, this one of Horner, is exposed with some complements. The last method presents the study of a linear network (mechanical, electronic) by direct analog transposition, without having to calculate its transfer function. Several aspects are studied the economy or the material type, the simpleness of implementing the adaptation of coefficients to the computer, the introduction of initial conditions of input and output functions. Every method presented is discussed in function of these problems. The precision of the result is not studied here, but we can indicate that the methods treated here, do not include approximations other than these ones of the computer elements