  This paper proposes the design of gain-scheduled static output feedback
controllers for the stabilization of continuous-time linear parameter-varying
systems with $\mathcal{L}_2$-gain performance. The system is transformed into
the form of a differential-algebraic representation which allows dealing with
the broad class of systems whose matrices can present rational or polynomial
dependence on the parameter. The proposed approach uses the definition of
strict QSR dissipativity, Finsler's Lemma, and the notion of linear
annihilators to formulate conditions expressed in the form of polytopic linear
matrix inequalities for determining the gain-scheduled static output feedback
control for system stabilization. One of the main advantages of the strategy is
that it provides a simple design solution in a non-interactive manner.
Furthermore, no restriction on the plant output matrix is imposed. Numerical
examples highlight the effectiveness of the proposed method.
