Conservatism-free Robust Stability Check of Fractional-order Interval Linear Systems

@inproceedings{Ahn2008ConservatismfreeRS,
  title={Conservatism-free Robust Stability Check of Fractional-order Interval Linear Systems},
  author={Hyo-sung Ahn and Yangquan Chen},
  year={2008}
}
Abstract 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 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… CONTINUE READING

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