Pinning control for complex networks of linearly coupled oscillators

In this paper, we study the pinning control of networks of coupled oscillators using master stability-like function. The assignment of controllers is performed on the basis of collective dynamics of the network and local and coupling dynamics through the Lyapunov direct method. We assume that the controllers' gain are constrained and we show that our results recover existing ones, when this constraint is removed. Numerical results verify that in more realistic scenarios our method assigns pinning points much more effectively compared to existing approaches.