摘要:AbstractNew Linear-Matrix-Inequality (LMI) conditions are proposed for ℋ∞analysis and synthesis ofuncertainfractional-order systems where the non-integer order of differentiation belongs to the set ]0 2[. The developed conditions areextendedLMI conditions involving additional LMI variables needed for numerical calculation of the feedback gains. The stability conditions are embedded with the necessaryH∞LMI conditions leading to new formulation of the bounded-real-lemma result. The stabilizability conditions withH∞performance are subsequently derived and tested with static-pseudo-state feedbacks and static-output feedbacks as well.