Subject of the paper are networks of coupled systems of the form
where is the state variable of one node of the network, is the coupling matrix. The authors extend the master stability method [L. Pecora, T. Carroll, G. Johnson, D. Mar, and J. Heagy, Chaos 7, 520–543 (1997; Zbl 0933.37030)] to obtain criteria for global synchronization, i.e. global stability of the invariant subspace . Using the technique of T. Nishikawa and A. E. Motter [Physica D 224, No. 1–2, 77–89 (2006; Zbl 1117.34048)], the authors include also the case, when the coupling matrix is nondiagonalizable.