基于牵制控制的切换布尔网络的分布式集合镇定

Distributed set stabilization of switched Boolean networks via pinning control

中文关键词  切换布尔网络  镇定  牵制控制  分布式控制  矩阵半张量积

英文关键词  switched Boolean network  stabilization  pinning control  distributed control  semi-tensor product of matrices.

中文摘要

      切换布尔网络是一种典型的网络化控制系统, 在基因调控、信息安全、人工智能、电路设计等领域具有重 要应用. 本文基于牵制控制方法, 研究切换布尔网络在任意切换下的分布式集合镇定问题. 首先, 利用矩阵半张量积 方法，得到切换布尔网络的代数形式. 其次, 基于代数形式, 提出构造性的算法来实现切换布尔网络在牵制控制的 作用下任意切换集合镇定, 并设计出状态反馈牵制控制器. 再次, 利用逻辑矩阵分解技术和分布式控制方法, 设计任 意切换下切换布尔网络的分布式集合镇定控制器, 并提出分布式控制器存在的充分条件. 文中给出3个例子来说明 所获得结果的有效性.

英文摘要

      Switched Boolean network is a typical kind of networked control systems, which has important applications in gene regulation, information security, artificial intelligence, circuit design, and so on. Based on the pinning control method, this paper is devoted to studying the distributed set stabilization of switched Boolean networks under arbitrary switching signal. Firstly, the algebraic form of switched Boolean networks is obtained by the semi-tensor product of matrices. Secondly, based on the algebraic form, a constructive algorithm is proposed to design state feedback pinning controllers for the set stabilization of switched Boolean networks under arbitrary switching signal. Thirdly, the combination of logical matrix factorization technique and distributed control method is applied to design distributed controllers for the set stabilization of switched Boolean networks under arbitrary switching signal, and a sufficient condition is proposed for the existence of distributed controllers. Three examples are worked out to demonstrate the effectiveness of the obtained new results.