Stabilization of Boolean control networks with state-triggered impulses

被引：0
作者：
Rongpei Zhou
Yuqian Guo
Xinzhi Liu
Weihua Gui
机构：
[1] Central South University,School of Automation
[2] University of Waterloo,Department of Applied Mathematics
来源：
Science China Information Sciences | 2022年 / 65卷
关键词：
Boolean control networks; set stabilization; state-triggered impulses; hybrid-index model; semi-tensor product of matrices;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Previously, impulses were used to model abrupt changes in dynamic biological systems. This paper introduces a hybrid-index model that can characterize instantaneity of the impulsive behavior more effectively, compared with the existing impulsive Boolean network models. Using the hybrid-index model, we investigate the set stabilization of Boolean control networks with state-triggered impulses in the hybrid-domain and the time-domain. We establish necessary and sufficient conditions for set stabilizability in the hybrid and time domains, using the methods of k-domain and quotient mapping, respectively. Further, we obtain algorithms for constructing all hybrid-optimal and time-optimal set stabilizers by partitioning the state space into layers. The relationships between different set stabilizabilities are summarized. In addition, we have shared two examples to demonstrate the main results.
引用
收藏
相关论文
共 118 条
  • [1] Schlitt T(2007)Current approaches to gene regulatory network modelling BMC Bioinf 8 S9-103
  • [2] Brazma A(2009)Gene regulatory network inference: data integration in dynamic models—a review Biosystems 96 86-467
  • [3] Hecker M(1969)Metabolic stability and epigenesis in randomly constructed genetic nets J Theor Biol 22 437-5663
  • [4] Lambeck S(2000)Dynamics of complex systems: scaling laws for the period of Boolean networks Phys Rev Lett 84 5660-114
  • [5] Toepfer S(2017)Understand ecosystem regime shifts by modelling ecosystem development using Boolean networks Ecol Complex 31 104-890
  • [6] Kauffman S A(2018)Probabilistic Boolean network modeling of an industrial machine J Intell Manuf 29 875-66
  • [7] Albert R(2003)Boolean dynamics of networks with scale-free topology Physica D-Nonlin Phenomena 185 45-552
  • [8] Barabási A L(2003)Superpolynomial growth in the number of attractors in Kauffman networks Phys Rev Lett 90 098701-521
  • [9] Gaucherel C(2003)Finding cycles in synchronous Boolean networks with applications to biochemical systems Int J Bifurcation Chaos 13 535-235
  • [10] Théro H(2005)Number and length of attractors in a critical Kauffman model with connectivity one Phys Rev Lett 94 088701-679
12345678910