Fixed-Time Synchronization Analysis of Genetic Regulatory Network Model with Time-Delay

被引：1

作者：

Zhou, Yajun ^{[1
,2
]}

Gao, You ^{[1
]}

机构：

[1] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China

[2] Hunan Vocat Coll Nationalities, Sch Primary Educ, Yueyang 414000, Peoples R China

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 05期

关键词：

Lyapunov method; time-delay; genetic regulatory networks; discontinuous switch control strategy; fixed-time synchronization; settling time; ROBUST STATE ESTIMATION; NEURAL-NETWORKS; STABILITY; SYSTEMS; EXPRESSION;

D O I：

10.3390/sym14050951

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The synchronous genetic regulatory networks model includes the drive system and response system, and the drive-response system is symmetric. From a biological point of view, this model illustrates the dynamic behaviors in gene-to-protein processes, in terms of transcription and translation. This paper introduces a model of genetic regulatory networks with time delay. The fixed-time synchronization control problem of the proposed model is studied based on fixed-time stability theory and the Lyapunov method. Concretely, the authors first propose a way to switch from the given model to matrix form. Then, two types of novel controllers are designed and the corresponding sufficient conditions are investigated respectively to ensure the fixed-time synchronization goal. Moreover, the settling times of fixed-time synchronization are estimated for the addressed discontinuous controllers, which are not dependent on the initial or delayed states of the model. Finally, numerical simulations are presented and compared to illustrate the benefits of the theoretical results.

引用

页数：13

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