Stability of genetic regulatory networks based on switched systems and mixed time-delays.
In this paper, the switched genetic regulatory networks (GRNs) are modeled from a real biological system, based on switched systems, noise and mixed time-delays. Global asymptotical stability for the proposed switched GRNs are studied by the Lyapunov method and the matrix inequality techniques. Some new sufficient conditions are obtained to ensure the global asymptotical stability of the proposed switched GRNs. Furthermore, the proposed LMI results are computationally efficient as it can be solved numerically with standard commercial software. Finally, an example is provided to illustrate the usefulness of the results.
Orthopedic Institute, Department of Orthopedics, The First Affiliated Hospital of Soochow University, Soochow University, Suzhou 215007, China; School of Science, Jiangnan University, Wuxi 214122, China. Electronic address: wanglan@suda.edu.cn.
Lan
L
Wang
Orthopedic Institute, Department of Orthopedics, The First Affiliated Hospital of Soochow University, Soochow University, Suzhou 215007, China.
Zong-Ping
ZP
Luo
Orthopedic Institute, Department of Orthopedics, The First Affiliated Hospital of Soochow University, Soochow University, Suzhou 215007, China.
Hui-Lin
HL
Yang
Department of Mathematics, Southeast University, Nanjing 210096, China.
Jinde
J
Cao
D053263:Gene Regulatory Networks; D006801:Humans; D008957:Models, Genetic; D013997:Time Factors
Global asymptotical stability; Lyapunov method; Mixed time-delays; Noise; The switched genetic regulatory networks