Sufficient Conditions for the Stability of Linear Takagi-Sugeno Free Fuzzy Systems

摘要

In this paper, we will study the stability issues of the Takagi-Sugeno (T-S) free fuzzy systems. Based on matrix we propose a new sufficient condition for the linear T-S free 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 consequent parameter uncertainty to be globally asymptotically stable.