Pattern Dynamics Optimization of the Schnakenberg System Based on State Feedback Control Strategy

This paper introduces a state feedback control strategy for the Schnakenberg system under the influence of cross-diffusion for the first time. Taking the cross-diffusion coefficient as bifurcation parameter, the necessary conditions for the Hiring instability of the controlled system are analyzed. Numerical simulations show that the introduction of state feedback control can not only alter the pattern structure, but also effectively suppress the occurrence of the Hiring instability. Changes in control parameter can lead to alterations in the Hiring bifurcation threshold.