We report a design of delay coupling for targeting desired synchronization in
delay dynamical systems. We target synchronization, antisynchronization, lag-,
antilag- synchronization, amplitude death (or oscillation death) and
generalized synchronization in mismatched oscillators. A scaling of the size of
an attractor is made possible in different synchronization regimes. We realize
a type of mixed synchronization where synchronization, antisynchronization
coexist in different pairs of state variables of the coupled system. We
establish the stability condition of synchronization using the
Krasovskii-Lyapunov function theory and the Hurwitz matrix criterion. We
present numerical examples using the Mackey-Glass system and a delay
R\"{o}ssler system.Comment: 8 pages, 6 figures; Chaos 22 (2012