Abstract

This chapter discusses the structural rules for the determination of sensitivity functions of nonlinear nonstationary systems. The structural methods proposed for sensitivity analysis of linear stationary and certain nonlinear systems are more practical than the purely analytical procedures, although the latter are considerably more general. The purpose of this communication is to formulate structural rules that will facilitate the practical determination of sensitivity functions of nonstationary systems. According to these rules, an analogy to linear stationary systems, sensitivity functions are obtained from a sensitivity structure that is determined once for all and that closely resembles the basic structure of the system. The sensitivity functions of nonlinear nonstationary systems can be obtained with the aid of an additional structure—the sensitivity structure—connected in a suitable way with the basic structure. The only difference between the two structures is that nonlinearities of the basic structure are replaced in the sensitivity structure by multiplying elements. The chapter also discusses nonlinearities with several inputs, and sensitivity functions with respect to parameters of nonlinear elements.

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