We present optimal upper bounds for the deviation of a fuzzy continuous function from its fuzzy average over [a, b] ⊂ R, error is measured in the D-fuzzy metric. The established fuzzy Ostrowski type inequalities are sharp, in fact attained by simple fuzzy real number valued functions. These inequalities are given for fuzzy Hölder and fuzzy differentiable functions and these facts are reflected ...

In this paper, the T-S fuzzy model approach is extended to design a fuzzy state feedback controller for the stabilizability of a fuzzy system with multiple non-commensurate time delays. Based on Riccati-type inequalities and delay-dependent Lyapunov functional approach, some sufficient conditions are derived under which the parallel-distributed fuzzy control can stabilize the whole fuzzy time-d...

This thesis deals with the analysis and design of robust fuzzy controllers for uncertain nonlinear systems using Takagi-Sugeno (T-S) model based approach. A T-S fuzzy model is used here to approximate the uncertain nonlinear systems where the nominal model and uncertain terms of the consequent parts of the fuzzy model are identified by a linear programming approach and then they are expressed i...

introduction: inequalities in urban environment are a significant concern. socioeconomic level plays an important role in these inequalities. inequality in environmental hazards is recognized as potential determinants of health disparities. materials & methods: in this study, we used individual and cumulative environmental hazard inequality indices to compare the inequality among 379 neighborho...

There are many fuzzy information and divergence measures exist in the literature of Information Theory. Inequalities play important role for finding relations. Here, we will introduce some new inequalities on their applications pattern recognition. Also established relations between well known with help $f$-divergence measure jensen’s inequality.

correct estimation of suspended sediment transported by a river is an important practice in water structure design, environmental problems and water quality issues. conventionally, sediment rating curve used for suspended sediment estimation in rivers. in this method discharge and sediment discharge or concentration related using regression relation that generally is exponential model. respect ...

The problem of robust fuzzy control for a class of nonlinear fuzzy impulsive singular perturbed systems with time-varying delay is investigated by employing Lyapunov functions. The nonlinear delay system is built based on the well-known T–S fuzzy model. The so-called parallel distributed compensation idea is employed to design the state feedback controller. Sufficient conditions for global expo...

Abstract This paper presents the stability and rnbustncss analysis for fiizzy control system subject to paramctcr uncertainties, and the design of gains for thc fuzzy controller. Based on Lyapunov stability theory, stnbility nnd robustness conditions will be derived. The stability conditions involves only p+l linear matrix inequalities, where p i s the numbcr of rulcs of thc fuzzy controller. A...

This paper presents a number of state feedback controller design methods for fuzzy dynamic systems with H optimization and/or additional constraints on the closed-loop pole location. The controller design involves solving a set of linear matrix inequalities and the control laws are numerically tractable via LMI techniques. The global stability of the closedloop fuzzy control system is also esta...