摘要
相比于传统的整数阶基因调控网络,通过引入分数阶微分算子构建了一类新型的分数阶时滞基因调控网络,精确地描述了基因m RNA(信使核糖核酸)和蛋白质之间的关系.针对m RNA和蛋白质之间的复杂动态行为,通过利用Caputo分数阶微积分的性质和不等式的放缩技巧,结合所构建的向量范数,给出了系统一致稳定性的充分判据;此外,运用Brower不动点定理证明系统平衡点的存在性和唯一性.所得结论可作为已有文献的一种推广,便于实际工程应用.最后,通过仿真实例验证了所得结论的有效性和正确性.
Compared with the traditional integer-order gene regulatory networks,a new class of fractional-order gene regulatory networks with time delay was put forward by introducing fractional-order differential operators into integer-order model.Fractional-order gene regulatory networks can accurately describe the relationship between gene mRNA(messenger Ribonucleic Acid) and protein.In order to deal with the complex dynamic behavior between mRNA and protein,the properties of Caputo fractional-order calculus, inequality analysis technique and the constructed vector norm were used.Then,some sufficient criteria for the system’s uniform stability were given.In addition, based on the Brower fixed point theorem,the existence and uniqueness of equilibrium point of system were proved.The presented results can be used as a generalization of the existing literature,and they are convenient for practical engineering application.Finally,the validity and correctness of the obtained conclusions was verified by simulation example.
作者
丁芝侠
陈冲
胡蝶
DING Zhixia;CHEN Chong;HU Die(School of Electrical and Information Engineering,Wuhan Institute of Technology,Wuhan 430205,China)
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2020年第12期27-31,37,共6页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(61703312)。
