Function perturbation impact on Boolean networks: The Lyapunov approach

A crucial system for studying gene regulatory networks is Boolean networks (BNs). Our study employs the Lyapunov function approach to explore the global stability of BN systems under the function perturbations. More specifically, given that the original BN system is globally stable in an ideal environment, a criterion is presented to confirm the robustness of the Lyapunov function of the original system under function perturbations. Finally, an illustrative example of perturbed finite non-cooperative games is provided.