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Analytical criteria of static output feedback problem feasibility for second-order systems

Pakhsin P., Pozdyaev V.

Systems Science

2009

Vol. 35, no 1

39-45

Necessary and sufficient conditions of feasibility of second-order linear matrix inequality systems reducible to two or three scalar quadratic inequalities are presented. These conditions are applied to the problem of static output feedback-based stabilization of a second-order system to obtain two feasibility criteria. The first one is based on the general theorems; the second one is tailored specifically for this problem and is easier to use.