| Markov切换时滞基因调控网络的均方同步和随机无源同步北大核心CSCD |
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| 引用本文： | 曹娟,任凤丽.Markov切换时滞基因调控网络的均方同步和随机无源同步北大核心CSCD[J].应用数学和力学,2022,43(2):198-206. |
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| 作者姓名： | 曹娟 任凤丽 |
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| 作者单位： | 南京航空航天大学 数学系，南京 210016 |
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| 摘 要： | 基因调控网络(GRNs)及其动力学模型的研究在后基因组时代是一个重要的研究领域.定性分析基因调控网络及其动力学对系统地认识生物体具有重要意义.该文提出了一类具有时变时滞和Markov切换的随机基因调控网络模型,研究了其均方同步和随机无源同步问题.通过设计合适的Lyapunov-Krasovskii泛函(LKF),并利用Lyapunov稳定性理论、线性矩阵不等式方法和随机分析技巧,得到了均方同步和随机无源同步的充分条件.此外,通过与其他文献进行比较,显示了该文结果的理论价值.数值模拟验证了所得充分条件的有效性.
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| 关 键 词： | 均方同步 随机无源同步 基因调控网络 时变时滞 Markov切换 |
| 收稿时间： | 2021-08-31 |
Mean-Square Synchronization and Stochastically Passive Synchronization of Delayed Gene Regulatory Networks With Markovian Switching |
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| CAO Juan,REN Fengli.Mean-Square Synchronization and Stochastically Passive Synchronization of Delayed Gene Regulatory Networks With Markovian Switching[J].Applied Mathematics and Mechanics,2022,43(2):198-206. |
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| Authors: | CAO Juan REN Fengli |
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| Affiliation: | Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R.China |
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| Abstract: | The research of gene regulatory networks(GRNs) and their dynamic models is important in the post-genome era.Qualitative analysis of GRNs and their dynamics is of great significance to the understanding of organisms from a systematic perspective. A stochastic GRN model with time-varying delay and Markovian switching was proposed to study the properties of mean-square synchronization and stochastically passive synchronization. Through the design of an appropriate Lyapunov-Krasovskii functional(LKF), the sufficient conditions for mean-square synchronization and stochastically passive synchronization were obtained by means of the Lyapunov stability theory, the linear matrix inequality method and the random analysis techniques. In addition, the comparison between the results of this paper and some other literatures shows that, the present results have markable theoretical meaning. The numerical simulation illustrates the validity of the obtained sufficient conditions. |
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| Keywords: | mean-square synchronization stochastically passive synchronization gene regulatory network time-varying delay Markovian switching |
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