This paper investigates the problems of stability
analysis and stabilization for a class of discrete-time Takagi-
Sugeno fuzzy systems with time-varying state delay. Based on a
novel fuzzy Lyapunov–Krasovskii functional, a delay partitioning
method has been developed for the delay-dependent stability
analysis of fuzzy time-varying state delay systems. As a result of
the novel idea of delay partitioning, the proposed stability condition
is much less conservative than most of the existing results.
A delay-dependent stabilization approach based on a nonparallel
distributed compensation scheme is given for the closed-loop fuzzy
systems. The proposed stability and stabilization conditions are
formulated in the form of linear matrix inequalities (LMIs), which
can be solved readily by using existing LMI optimization techniques.
Finally, two illustrative examples are provided to demonstrate
the effectiveness of the techniques proposed in this paper.