In this comment Letter, we show that the stability analysis given in Ref.  cannot be extended to the fractional order (FO) uncertain Takagi–Sugeno (T–S) fuzzy model. In fact, the authors of Ref.  have investigated the stability analysis and synthesis of the FO uncertain T–S fuzzy systems. The proofs of Theorems 1 and 2 of Ref.  are based on the well-known analysis method in Ref.  for the following linear fractional order system:
where 1 ≤ v ≤ 2. In Ref. , a necessary and sufficient condition for asymptotic stability of system (1) is given as a linear matrix inequality (LMI). It should be noted that this result must be applied only on linear time invariant (LTI) fractional order systems. The...
LMI Stability Conditions for Fractional Order Systems,”
Comput. Math. Appl.,
Robust Stability and Stabilization of Fractional Order Systems Based on Uncertain Takagi–Sugeno Fuzzy Model With the Fractional Order 1 ≤ v ≤ 2,”
ASME J. Comput. Nonlinear Dynam.,
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