AN INTRODUCTION TO SINGULAR CONTROL PROBLEMS THROUGH AN ELECTRICITY MARKET MODEL
We start motivating this seminar with the following question: at which electricity price it is optimal to increase the current installed power in order to obtain the maximum profit of selling the produced energy? We will see that the mathematics behind our model is called singular control theory and, always leaning in our electricity market example, we will briefly introduce the main concepts and results that define this specific branch of control theory. We conclude the talk answering our question considering the Italian market case.