  Based on the generalized Routh-Hurwitz criterion, we propose a sufficient and
necessary criterion for testing the stability of fractional-order linear
systems with order {\alpha}{\in}[1,2), called the fractional-order
Routh-Hurwitz criterion. Compared with the existing criterion, our one involves
fewer and simpler expressions, which is significant for analyzing robust
stability of fractional-order uncertain systems. All these expressions are
explicit ones about the coefficients of the characteristic polynomial of system
matrix, so the stable parameter region of fractional-order uncertain systems
can be described directly. Some examples show the effectiveness of our method.
