布尔控制网络最小能耗问题的半张量方法
Semi-Tensor Method for Minimum Energy Consumption Problem in Boolean Control Networks
DOI: 10.12677/AAM.2018.71012, PDF, HTML, XML,  被引量 下载: 1,545  浏览: 1,927  国家自然科学基金支持
作者: 钱 柳, 韦 维, 符繁强：贵州民族大学，数据科学与信息工程学院，贵州 贵阳；周 荧：贵州大学，数学与统计学院，贵州 贵阳
关键词: 布尔网络；半张量积；动态规划；最优控制；Boolean Network； Semi-Tensor Product； Dynamic Programming； Optimal Control
摘要: 布尔网络是研究生物系统和基因调控网络的一种重要模型。本文利用矩阵半张量积的方法，给出逻辑动态系统的代数状态空间表示和最小能耗问题目标泛函的一个新的表达形式，并应用动态规划法求解其最优控制问题，最后举例说明算法的有效性。
Abstract: Boolean network is an important model to study biological systems and gene regulatory networks. In this paper, a new expression of the object functional of the algebraic state space representation and the minimum energy consumption problem of the logical dynamical system is given by using the matrix half tensor product method. Then the dynamic programming method is used to discuss the optimization problem. Finally, an example is given to illustrate the effectiveness of the proposed algorithm.
文章引用：钱柳, 韦维, 符繁强, 周荧. 布尔控制网络最小能耗问题的半张量方法[J]. 应用数学进展, 2018, 7(1): 95-103. https://doi.org/10.12677/AAM.2018.71012

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