Conservatism-free Robust Stability Check of Fractional-order Interval Linear Systems
نویسندگان
چکیده
This paper addresses a necessary and sufficient robust stability condition of fractional-order interval linear time invariant systems. The state matrix A is considered as a parametric interval uncertain matrix and fractional commensurate order is considered belonging to 1 ≤ α < 2. Using the existence condition of Hermitian matrix P = P ∗ for a complex Lyapunov inequality, we show that a fractional-order interval linear system is robust stable if and only if there exist Hermitian matrices P = P ∗ such that complex Lyapunov inequalities are satisfied for all vertex matrices, which is a set of selected matrices. Two numerical examples are presented to verify the validity of the proposed approach.
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