Pinning control of complex networks with general topology

This paper focuses on the stability of complex dynamical networks with general topology. Compared with the previous work, the outer and inner coupling matrices of complex networks are considered to have no restrictions. Control of such networks is investigated by applying the local feedback to a fraction of nodes. The Master Stability Equation (MSE) derived for complex networks contains the spectrum of both the outer and the inner coupling matrices. Some stability criteria to guarantee pinning to the equilibrium by local feedback control are derived based on MSE. The efficiency of the derived results is illustrated by a numerical example.