Sensitivity-Function Calculation in Linear Systems Using Time-Shared Analog Integration

Abstract—Sensitivity functions which relate the effect of parameter variations to system variables may be calculated for linear systems by simultaneous integration of two sets of first-order linear differential equations. These sets have the same homogeneous part. This note describes how an analog computer may be used to solve these equations without using two distinct simulations wired together. The number of integrators in the analog simulation is equal to the system order.