This paper points out that Corollary 1 is equivalent to Proposition 1 in [Ding, B. C., Sun, H. X., & Yang, P. (2006). Further studies on LMI-based relaxed stabilization conditions for nonlinear systems in Takagi-Sugeno's form. Automatica, 42(3), 503-508]. Crown Copyright (C) 2008 Published by Elsevier Ltd. All rights reserved.