This paper is concerned with H∞ filtering problem for T-S fuzzy systems with partly immeasurable premise variables. By using measurable premise variables of fuzzy models as the premise variables of fuzzy filters, a new fuzzy filter scheme is constructed. Further based on a class of line integral fuzzy Lyapunov functions, a convex condition for designing H∞ filters is proposed. In contrast to th...

This paper is concerned with the problem of H control of fuzzy nonlinear impulsive systems with quantized feedback. New results on the H feedback control are established for one class of fuzzy nonlinear uncertain impulsive systems and one class of fuzzy nonlinear impulsive systems with nonlinear uncertainties by choosing appropriately quantized strategies and applying Lyapunov function approach...

The purpose of this paper is to introduce the notion of a fuzzy H-weak contraction and prove a fixed point theorem for fuzzy H-weak contractions without exploiting the notion of continuity in M -complete fuzzy metric spaces. Examples are given to show that our result is a proper extension of some known results in the literature.

In this paper, a unified fuzzy H∞ control approach is proposed to deal with the problem of synchronization of two different hyperchaotic systems. The T–S fuzzy models with a small number of fuzzy IF-THEN rules are employed to represent many typical hyperchaotic systems exactly. Based on the T–S fuzzy hyperchaotic models, a fuzzy H∞ synchronization controller is designed via parallel distributed...

The problem of robust H∞ fuzzy state feedback and dynamic output feedback control for uncertain fuzzy descriptor systems is discussed. In the case that time-varying uncertainties are in all parameter matrices except E, sufficient conditions for the existence of fuzzy state feedback and dynamic output feedback robust H∞ controllers are given in terms of LMI. The fuzzy state feedback control law ...

We propose the concept of up and down harmonically convex mapping for fuzzy-number-valued as our main goal in this work. With help fuzzy-number convexity fuzzy fractional integral operator, we also show results Hermite–Hadamard (H–H) inequality, Fejér type some other related versions inequalities. Moreover, examples are presented to discuss validity results. The from new technique how suggested...

In this paper, the concept of (∈γ ,∈γ ∨qδ)-fuzzy soft hinterior ideals over a hemiring is introduced and investigated. Some characterization theorems of h-semisimple hemirings are derived in terms of (∈γ ,∈γ ∨qδ)-fuzzy soft left (right) h-ideals and (∈γ ,∈γ ∨qδ)-fuzzy soft hinterior ideals. 2010 AMS Classification: 20M12, 08A72