Asymptotic Stability of Markovian Jumping Genetic Regulatory Networks with Random Delays

作者：Liu Jinliang^*; Yue Dong

来源：Chinese Journal of Electronics, 2013, 22(2): 263-268.

• Genetic regulatory network
• Random delays
• Asymptotic stability
• Markovian jumping parameters

This paper investigates the asymptotic stability of genetic regulatory networks with random delays and Markovian jumping parameters. The delay considered here is assumed to be satisfying a certain stochastic characteristic. Corresponding to the probability of the delay taking value in different intervals, stochastic variables satisfying Bernoulli random binary distribution are introduced and a new system model is established by employing the information of the probability distribution. By using a Lyapunov functional approach and linear matrix inequality techniques, the stability criteria for the delayed Markovian jumping genetic regulatory networks are expressed as a set of Linear matrix inequalities (LMIs), which can be solved numerically by LMI toolbox in MATLAB. A genetic network example is given to verify the effectiveness and the applicability of the proposed approach.

• 出版日期2013-4
• 单位南京大学