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发布时间：2019-03-13

论文类型：期刊论文

发表时间：2019-02-01

发表刊物：AUTOMATICA

收录刊物：Scopus、SCIE

卷号：100

页面范围：378-387

ISSN号：0005-1098

关键字：Boolean control networks; Semi-tensor product (STP); Average optimal control; Infinite horizon optimal control; Policy iteration

摘要：This paper deals with the infinite horizon optimal control problem for deterministic Boolean control networks (BCNs) with average cost. Based on the semi-tensor product of matrices and Jordan decomposition technique, a nested optimality equation for the average infinite horizon problem of BCNs is presented. By resorting to Laurent series expression, a novel policy iteration algorithm, which can find the optimal state feedback controller in finite iteration steps, is proposed. Finally, as a practical application, the optimal intervention problem of Ara operon in E. coil is addressed. (C) 2018 Elsevier Ltd. All rights reserved.