THE STABILITY CRITERIONS FOR FUZZY DESCRIPTOR SYSTEMS WITH TIME-DELAY

B.Y. Zhu, Q.L. Zhang, and S.C. Tong

Keywords

Timedelay, TS fuzzy descriptor systems, regularity, causality, stability

Abstract

In this paper, we study the stability problem for a kind of Takagi-Sugeno (T-S for short) fuzzy discrete descriptor system with time-delay. We give a main theorem to check the regularity, causality and stability for the system. The theorem gets over the application difficulty of the criterion for the system with large time-delay. And we also show that the regularity and causality for the system without time-delay are equivalent to ones for the system with time-delay. A numerical example is given to demonstrate the effectiveness of method proposed.

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