Sufficient conditions for the stability of linear Takagi-Sugeno free fuzzy systems

In this paper, we will study the stability issues of the linear Takagi-Sugeno (T-S) free fuzzy systems. Based on matrix norm, we propose a new sufficient condition for the linear T-S free fuzzy system to be globally asymptotically stable. We then study the stability analysis in the case of systems with consequent parameter uncertainty. Based on Mayer´s convergent theorem, we propose a sufficient condition, which is easily implemented, for the systems with consequent parameter uncertainty to be globally asymptotically stable.