  Bounded-input bounded-output stability conditions for fractional-order linear
time-invariant (LTI) system with multiple noncommensurate orders have been
established in this paper. The orders become noncommensurate orders when they
do not have a common divisor. Sufficient and necessary conditions of stability
for this kind of fractional-order LTI system with multiple noncommensurate
orders. Based on the numerical inverse Laplace transform technique, time-domain
responses for a fractional-order system with double noncommensurate orders are
presented to illustrate the obtained stability results.
