State feedback for set stabilization of Markovian jump Boolean control networks

Sanmei Zhu, Jun‐e Feng, Jianli Zhao
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引用次数: 3

Abstract

In this paper, the set stabilization problem of Markovian jump Boolean control networks (MJBCNs) is investigated via semi-tensor product of matrices. First, the conception of set stabilization is proposed for MJBCNs. Then based on the algebraic expression of MJBCN, a necessary and sufficient condition for set stabilization is provided by a linear programming problem, which is simple to solve. Moreover, by solving this linear programming problem, an algorithm for designing a state feedback controller is developed. Finally, two examples are presented to illustrate the feasibility of the obtained results.
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马尔可夫跳变布尔控制网络集镇定的状态反馈
本文利用矩阵的半张量积研究了马尔可夫跳布尔控制网络的集镇定问题。首先,提出了mjbcn的集镇定概念。然后根据MJBCN的代数表达式,通过求解一个简单的线性规划问题,给出了集合稳定的充分必要条件。此外,通过求解该线性规划问题,提出了一种状态反馈控制器的设计算法。最后,通过两个算例说明所得结果的可行性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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