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It has been shown by Thathachar and Viswanath (ibid., vol.5, p.145-51, 1997) that the stability of Takagi and Sugeno's fuzzy system is equivalent to that of a corresponding switching system with finite number of characteristic matrices. In this correspondence, we shall correct a false proof of a result in Thathachar and Viswanath.
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Guu et al. (1999) studied this question.
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