Stabilization of higher order Boolean networks under state-flipped control

This paper investigates the stabilization of higher order Boolean networks (BNs) under state-flipped control using a matrix-based approach. First, the theory of state-flipped control is extended to higher-order BNs. Subsequently, a detailed analysis of the trajectories of higher-order BNs is presented. Based on this analysis, the stabilization problem for higher-order BNs under state-flipped control is addressed and solved. Finally, illustrative examples are provided to validate the theoretical results. • The concept of state-flipped control is introduced to the higher order Boolean networks. • The trajectories analysis for the higher order Boolean networks is presented. • Stabilization of the higher order Boolean networks under state-flipped control is reached.