A New Sufficient Condition for the Static Output Feedback Stabilization of Linear Discrete-Time Systems

This paper addresses the problem of static output feedback stabilization of linear discrete-time systems. Based on Lyapunov stability theory, we propose a new sufficient synthesis condition that is expressed as a linear matrix inequality (LMI) feasibility problem and hence easily tractable by optimization techniques. Moreover, we have conducted extensive comparative experiments using our new condition and previously published ones. The results of these experiments, reported and discussed in this paper, show that our method proves a very good numerical performance compared to existing ones