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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/12887

Title: A Probabilistic Approach to Control of Complex Systems and Its Application to Real-Time Pricing
Authors: Kobayashi, Koichi
Hiraishi, Kunihiko
Issue Date: 2014-09-17
Publisher: Hindawi Publishing Corporation
Magazine name: Mathematical Problems in Engineering
Volume: 2014
Start page: Article ID 906717
DOI: 10.1155/2014/906717
Abstract: Control of complex systems is one of the fundamental problems in control theory. In this paper, a control method for complex systems modeled by a probabilistic Boolean network (PBN) is studied. A PBN is widely used as a model of complex systems such as gene regulatory networks. For a PBN, the structural control problem is newly formulated. In this problem, a discrete probability distribution appeared in a PBN is controlled by the continuous-valued input. For this problem, an approximate solution method using a matrix-based representation for a PBN is proposed. Then, the problem is approximated by a linear programming problem. Furthermore, the proposed method is applied to design of real-time pricing systems of electricity. Electricity conservation is achieved by appropriately determining the electricity price over time. The effectiveness of the proposed method is presented by a numerical example on real-time pricing systems.
Rights: Koichi Kobayashi and Kunihiko Hiraishi, Mathematical Problems in Engineering, 2014, Article ID 906717. Copyright © 2014 Koichi Kobayashi and Kunihiko Hiraishi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. http://dx.doi.org/10.1155/2014/906717
URI: http://hdl.handle.net/10119/12887
Material Type: publisher
Appears in Collections:b10-1. 雑誌掲載論文 (Journal Articles)

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