  This paper addresses the problem of static output feedback (SOF)
stabilization for discrete-time LTI systems. We approach this problem using the
recently developed periodically time-varying memory state-feedback controller
(PTVMSFC) design scheme. A bilinear matrix inequality (BMI) condition which
uses a pre-designed PTVMSFC is developed to design the periodically
time-varying memory SOF controller (PTVMSOFC). The BMI condition can be solved
by using BMI solvers. Alternatively, we can apply two-steps and iterative
linear matrix inequality algorithms that alternate between the PTVMSFC and
PTVMSOFC designs. Finally, an example is given to illustrate the proposed
methods.
