SIAM Journal on Control and Optimization, Volume 58, Issue 6, Page 3632-3657, January 2020.
Controllability is one of the most fundamental issues in control theory. This paper focuses on the perturbation analysis for controllability of logical control networks (LCNs) via an algebraic state space representation approach. The function perturbation problem of LCNs is formulated, and the perturbation analysis for controllability of LCNs is divided into four cases based on whether the perturbed control can be replaced. By virtue of the matrix-based method, a kind of controllability perturbation matrix is constructed for each case to reveal the change of controllability matrix of the original LCNs. In addition, a kind of controllability perturbation set is proposed via the graph-based method, which provides a concise resolution for perturbation analysis with respect to controllability. Finally, the obtained results are applied to the reachability of the lactose operon in Escherichia coli.

中文翻译：

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逻辑控制网络可控性的摄动分析

SIAM控制与优化杂志，第58卷，第6期，第3632-3657页，2020年1月。
可控性是控制理论中最基本的问题之一。本文着重于通过代数状态空间表示方法对逻辑控制网络（LCN）的可控制性进行扰动分析。提出了LCNs的功能扰动问题，根据是否可以代替扰动控制，将LCNs可控性的扰动分析分为四种情况。借助于基于矩阵的方法，针对每种情况构造一种可控性摄动矩阵，以揭示原始LCN的可控性矩阵的变化。另外，通过基于图的方法提出了一种可控性扰动集，为可控性方面的扰动分析提供了简洁的解决方案。最后，