Stability of genetic regulatory networks based on switched systems and mixed time-delays
Lan Wang1, Zong-Ping Luo2, Hui-Lin Yang2
1Orthopedic Institute, Department of Orthopedics, The First Affiliated Hospital of Soochow University, Soochow University, Suzhou 215007, China; School of Science, Jiangnan University, Wuxi 214122, China.
Abstract:
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.
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