Synchronization Analysis for a Class of Genetic Oscillator Networks


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Abstract

We consider a synchronization problem for genetic oscillator networks. The genetic oscillators are modeled as nonlinear systems of the Lur’e type. Simple and verifiable synchronization conditions are presented for genetic oscillator networks by using the theory of absolute stability and the matrix theory. A network composed of coupled Goodwin models is used as an example of numerical simulation to verify the efficiency of the theoretical method.

About the authors

Q. Gao

Key Lab Ind. Comput. Control Eng. Hebei Province, Inst. Electr. Eng. Yanshan University

Email: liuxian@ysu.edu.cn
China, Qinhuangdao, 066004

J. Du

Key Lab Ind. Comput. Control Eng. Hebei Province, Inst. Electr. Eng. Yanshan University

Email: liuxian@ysu.edu.cn
China, Qinhuangdao, 066004

X. Liu

Key Lab Ind. Comput. Control Eng. Hebei Province, Inst. Electr. Eng. Yanshan University

Author for correspondence.
Email: liuxian@ysu.edu.cn
China, Qinhuangdao, 066004

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