オガワ　トシユキ   OGAWA Toshiyuki   小川　知之    所属   明治大学  総合数理学部    職種   専任教授
言語種別	日本語
発行・発表の年月	2015/01
形態種別	学術雑誌
査読	査読あり
標題	Selective pattern formation control: Spatial spectrum consensus and Turing instability approach
執筆形態	共著(筆頭者以外)
掲載誌名	Automatica
掲載区分	国外
巻・号・頁	56,25-35頁
著者・共著者	Kenji Kashima, Toshiyuki Ogawa, Tatsunari Sakurai
概要	Autonomous pattern formation phenomena are ubiquitous throughout nature. The goal of this paper is to show the possibility to effectively generate various desired spatial patterns by guiding such phenomena suitably. To this end, we employ a reaction-diffusion system as a mathematical model, and formulate and solve a novel pattern formation control problem. First, we describe the control objective in terms of spatial spectrum consensus, which enables utilize recent advances on networked control system theory. Next, the effectiveness of the proposed control law is evaluated theoretically by exploiting the center manifold theorem, and also numerically by simulation. The Turing instabilities play a crucial role throughout the paper.
DOI	10.1016/j.automatica.2015.03.019
ISSN	00051098
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