ABSTRACT

A widespread method of mathematical description of control systems consists in presenting a block-diagram including an aggregate of linear elements and nonlinear transformators of directed action. Stationary elements are given by their transfer functions or frequency responses. This chapter presents a method of investigation sensitivity of discontinuous control systems directly on the basis of their operator model. It provides a general description for a general class of operator models including systems containing nonstationary linear elements. The chapter shows that for systems containing elements with discontinuous and discrete characteristics operator models are to be considered equations in generalized functions. The use of operator models for systems with discontinuous and discrete characteristics calls for serious mathematical justification without which obvious, from the first glance, investigation methods may produce erroneous results.