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This paper concentrates on the robust stabilization of fractional‐order plant suffering from general interval uncertainties by using fractional‐order controllers. General interval uncertainties mean that the coefficients and orders of the denominator and nominator of the fractional‐order plant are all uncertain and lie in specified intervals. Two main contributions are presented, as follows. (i) Based on a graphical method, a necessary and sufficient criterion is proposed for the stabilization of the general interval fractional‐order plant. By adopting some well‐defined multivalue functions, the proposed method can explicitly construct the nonconvex boundary of the value set of the fractional system. (ii) Two alternative methods are presented to improve the computational efficiency of the stabilization test. Based on a newly developed redundancy elimination technique, the first method can avoid computing and plotting many …