LMI-Based Stability Criterion of Impulsive T-S Fuzzy Dynamic Equations via Fixed Point Theory

Abstract EN

By formulating a contraction mapping and the matrix exponential function, the authors apply linear matrix inequality (LMI) technique to investigate and obtain the LMI-based stability criterion of a class of time-delay Takagi-Sugeno (T-S) fuzzy differential equations.

To the best of our knowledge, it is the first time to obtain the LMI-based stability criterion derived by a fixed point theory.

It is worth mentioning that LMI methods have high efficiency and other advantages in largescale engineering calculations.

And the feasibility of LMI-based stability criterion can efficiently be computed and confirmed by computer Matlab LMI toolbox.

At the end of this paper, a numerical example is presented to illustrate the effectiveness of the proposed methods.