“…In this paper, we focus on real-time pricing of electricity, which is one of the key strategies in demand response. A real-time pricing system of electricity is a system that charges different electricity prices for different hours of the day and for different days, and is effective for reducing the peak and flattening the load curve (see, e.g., [2], [4], [11], [12], [13]). A real-time pricing system is a kind of feedback control systems, and some results from the viewpoint of control theory have been obtained so far (see, e.g., [4], [11]).…”