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Zhao, Y. and Cheng, D. (2012) Controllability and Stabilizability of Probabilistic Logical Control Networks. Proceedings of the 51st IEEE Conference on Decision and Control, Maui, USA, 10-13 December 2012, 6729-6734.
http://dx.doi.org/10.1109/cdc.2012.6427395

has been cited by the following article:

• TITLE: Verification of Real-Time Pricing Systems Based on Probabilistic Boolean Networks

  AUTHORS: Koichi Kobayashi, Kunihiko Hiraishi

  KEYWORDS: Model Checking, Probabilistic Boolean Networks, Real-Time Pricing

  JOURNAL NAME: Applied Mathematics, Vol.7 No.15, September 16, 2016

  ABSTRACT: In this paper, verification of real-time pricing systems of electricity is considered using a probabilistic Boolean network (PBN). In real-time pricing systems, electricity conservation is achieved by manipulating the electricity price at each time. A PBN is widely used as a model of complex systems, and is appropriate as a model of real-time pricing systems. Using the PBN-based model, real-time pricing systems can be quantitatively analyzed. In this paper, we propose a verification method of real-time pricing systems using the PBN-based model and the probabilistic model checker PRISM. First, the PBN-based model is derived. Next, the reachability problem, which is one of the typical verification problems, is formulated, and a solution method is derived. Finally, the effectiveness of the proposed method is presented by a numerical example.