  There are numerous examples of studied real-world systems that can be
described as dynamical systems characterized by individual phases and coupled
in a network like structure. Within the framework of oscillatory models, much
attention has been devoted to the Kuramoto model, which considers a collection
of oscillators interacting through a sinus function of the phase differences.
In this paper, we draw on an extension of the Kuramoto model, called the
Kuramoto-Sakaguchi model, which adds a phase lag parameter to each node. We
construct a general formalism that allows to compute the set of lag parameters
that may lead to any phase configuration within a linear approximation. In
particular, we devote special attention to the cases of full synchronization
and symmetric configurations. We show that the set of natural frequencies,
phase lag parameters and phases at the steady state is coupled by an equation
and a continuous spectra of solutions is feasible. In order to quantify the
system's strain to achieve that particular configuration, we define a cost
function and compute the optimal set of parameters that minimizes it. Despite
considering a linear approximation of the model, we show that the obtained
tuned parameters for the case of full synchronization enhance frequency
synchronization in the nonlinear model as well.
