Improving the asymptotically necessary and sufficient conditions for stability of fuzzy control

This paper improves some results in [Antonio Sala, Carlos Ariño, Asymptotically necessary and sufficient conditions for stability and performance in fuzzy control: applications of Polyaʹs theorem, Fuzzy Sets and Systems 158 (2007) 2671–2686]. In the relaxation of the stability results, only a smaller number of artificial decision variables are required. Thus, we obtain the equivalent stability results, with lower requirement on the computation.