Effect of Coupling Coefficient on Robustness of Controlling Network Systems

The dynamic process and control theory of network systems have theoretical value and practical significance. Inspired by the controllability theory of network systems, we study the effect of coupling coefficient on robustness of controlling network systems. Robustness is quantified by the proportion of critical edges. Simulations based on real and model network systems show that the coupling coefficient has an effect on robustness, but the effect is limited. Dense and heterogeneous network systems with strong positive or negative degree correlation may have stronger robustness. In addition, random coupling coefficients can enhance robustness.