Alternative criteria for admissibility and stabilization of singular fractional order systems

Abstract

This paper discusses admissibility problem of singular fractional order systems with order \begin{document}$ 1 . The alternative necessary and sufficient admissibility conditions are proposed, in which include linear matrix inequalities (LMIs) with equality constraints and LMIs without equality constraints. Moreover, these criteria are brand-new and different from the existing results. The state feedback control to stabilize singular fractional order systems is derived. Two numerical examples are presented to shown the effectiveness of our results.