Stability Analysis of Genetic Regulatory Networks with General Random Disturbances.

This paper establishes stability criteria for genetic regulatory networks with random disturbances. We assume the nonlinear feedback regulation function to satisfy the sector-like condition and the random perturbation to have a finite secondorder moment. Firstly, under the globally Lipschitz condition, the existence and uniqueness of solution to random genetic regulatory networks is considered by exploiting iterative approximation method. Then, by feat of the random analysis method and matrix technique, sufficient conditions are given to guarantee the noise-to-state stability in mean and globally asymptotic stability in probability, respectively. Lastly, two simulation examples are exploited in order to verify the validity of the proposed theory.