A BDD-Based Approach to Finite-Time Control of Boolean Networks

IF 0.4 4区 计算机科学 Q4 COMPUTER SCIENCE, HARDWARE & ARCHITECTURE
Fuma MOTOYAMA, Koichi KOBAYASHI, Yuh YAMASHITA
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引用次数: 0

Abstract

Control of complex networks such as gene regulatory networks is one of the fundamental problems in control theory. A Boolean network (BN) is one of the mathematical models in complex networks, and represents the dynamic behavior by Boolean functions. In this paper, a solution method for the finite-time control problem of BNs is proposed using a BDD (binary decision diagram). In this problem, we find all combinations of the initial state and the control input sequence such that a certain control specification is satisfied. The use of BDDs enables us to solve this problem for BNs such that the conventional method cannot be applied. First, after the outline of BNs and BDDs is explained, the problem studied in this paper is given. Next, a solution method using BDDs is proposed. Finally, a numerical example on a 67-node BN is presented.
基于bdd的布尔网络有限时间控制方法
基因调控网络等复杂网络的控制是控制论的基本问题之一。布尔网络是复杂网络中的一种数学模型,它用布尔函数来表示网络的动态行为。本文提出了一种利用二元决策图(BDD)求解网络有限时间控制问题的方法。在这个问题中,我们找到了满足一定控制规范的初始状态和控制输入序列的所有组合。bdd的使用使我们能够为bn解决这一问题,从而使传统方法无法适用。首先,在概述了bdn和bdd的基础上,给出了本文研究的问题。其次,提出了一种基于bdd的求解方法。最后,给出了一个67节点BN的数值算例。
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来源期刊
CiteScore
1.10
自引率
20.00%
发文量
137
审稿时长
3.9 months
期刊介绍: Includes reports on research, developments, and examinations performed by the Society''s members for the specific fields shown in the category list such as detailed below, the contents of which may advance the development of science and industry: (1) Reports on new theories, experiments with new contents, or extensions of and supplements to conventional theories and experiments. (2) Reports on development of measurement technology and various applied technologies. (3) Reports on the planning, design, manufacture, testing, or operation of facilities, machinery, parts, materials, etc. (4) Presentation of new methods, suggestion of new angles, ideas, systematization, software, or any new facts regarding the above.
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