In this note, the static output feedback stabilization problem is addressed
using the linear matrix inequality technique. A necessary and sufficient c
ondition for static output feedback stabilizability for linear time-invaria
nt systems is derived in the form of a matrix inequality. The extension of
the result to H-infinity control is studied. An iterative LMI (ILMI) algori
thm is proposed to compute the feedback gain. Numerical examples are employ
ed to demonstrate the effectiveness and the convergence of the algorithm. (
C) 1998 Elsevier Science Ltd. All rights reserved.