Assessing transfer functions in control systems
When dealing with control systems, it is useful and even necessary to assess the performance of underlying transfer functions. The functions may or may not be linear, may or may not be monotonic. They may have structural breaks and other aberrations that require monitoring and quantification to aid decision making. The present paper develops such a methodology, which is based on an index of increase that naturally arises as the solution to an optimization problem. The performance of an empirical counterpart of the index is explored theoretically and illustrated numerically.