Stability of Positive Fractional Continuous-Time Linear Systems with Delays

Necessary and sufficient conditions for the asymptotic stability of positive fractional continuous-time linear systems with delays are established. It is shown that: 1) the asymptotic stability of the positive fractional system is independent of their delays, 2) the checking of the asymptotic stability of the positive fractional systems with delays can be reduced to checking of the asymptotic stability of positive standard linear systems without delays.

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