Abstract

This note deals with the static output feedback stabilization problem of linear time-invariant (LTI) systems, one of the most relevant open problems in the field of control theory. We present a new sufficient linear matrix inequality (LMI) condition to test stabilizability by static output feedback. The notion of passivity indices, as a measure of the level of passivity of a system, is employed. Unlike the methods currently available in the literature, our LMI condition is non iterative and does not rely on similarity transformations, allowing for a straightforward determination of a constant feedback gain that asymptotically stabilizes the closed-loop. We also provide numerical examples of our strategy in order to demonstrate its applicability in different scenarios.

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