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Sampled-Data Control for IT-2 Fuzzy Systems With Packet Losses: Fragmentation-Based Integral Inequality Technique

IEEE Transactions on Systems, Man, and Cybernetics: Systems
The focus of this work is on establishing stabilization criteria for interval type-2 (IT-2) fuzzy systems with packet losses using a memory-based sampled-data controller (MBSDC) approach.
Stephen Arockia Samy, M. Arjunan, Y. Joo
semanticscholar   +1 more source

A Godunova-Type Inequality for Fuzzy Integrals

2010 International Conference on Intelligent Computation Technology and Automation, 2010
In this paper, we prove a Godunova-type inequality for fuzzy Integrals. It yields important applications in the theory of fuzzy control.
Li Xiao, Hu Yue
openaire   +1 more source

Weighted Fractional Hermite–Hadamard Integral Inequalities for up and down Ԓ-Convex Fuzzy Mappings over Coordinates

Mathematics, 2023
Due to its significant influence on numerous areas of mathematics and practical sciences, the theory of integral inequality has attracted a lot of interest.
Muhammad Bilal Khan   +5 more
semanticscholar   +1 more source

Optimal constrained integral sliding mode control design for fuzzy-based nonlinear systems

Transactions of the Institute of Measurement and Control, 2023
This study introduces a novel H∞ optimal constrained integral sliding mode control (OCISMC) for nonlinear systems due to the matched/unmatched external disturbances based on Takagi–Sugeno (TS) fuzzy models. Based on the Lyapunov function, the appropriate
Keramat Daneshian   +3 more
semanticscholar   +1 more source

Ostrowski–Sugeno Type Fuzzy Integral Inequalities

2018
Here we present Ostrowski–Sugeno Fuzzy type inequalities. These are Ostrowski-like inequalities in the context of Sugeno fuzzy integral and its special properties. They give tight upper bounds to the deviation of a function from its Sugeno-fuzzy averages. This work is greatly inspired by [1, 4]. It follows [2].
  +4 more sources

Generalized integral inequality to admissibility analysis for T-S fuzzy singular time-delay systems

Cybersecurity and Cyberforensics Conference, 2019
This paper investigates the admissibility analysis problem for T-S fuzzy singular time-delay systems by using the generalized integral inequality method.
Huayang Zhang, Zhiguang Feng
semanticscholar   +1 more source

Stability Analysis of Delayed T-S Fuzzy Systems via the Fuzzy Line-Integral Method

Cybersecurity and Cyberforensics Conference, 2023
This paper focuses on the problem of stability analysis for Takagi-Sugeno systems with time-varying delays. Firstly, a suitable Lyapunov-Krasovskii functional (LKF) containing fuzzy line-integral Lyapunov functional is constructed, which can introduce ...
Zhou-Zhou Liu, Li Jin, Yong He
semanticscholar   +1 more source

A Markov-type inequality for seminormed fuzzy integrals

Applied Mathematics and Computation, 2013
1 ...
Caballero, J., Sadarangani, K.
openaire   +3 more sources

Stability and stabilization for delayed fuzzy systems via reciprocally convex matrix inequality

Fuzzy Sets Syst., 2021
This paper focuses on the problems of stability and stabilization for time-delayed fuzzy systems. By establishing a novel Lyapunov-Krasovskii functional (LKF) and using an extended reciprocally convex matrix inequality with auxiliary function integral ...
Zhi Lian, Yong He, Min Wu
semanticscholar   +1 more source

General Hardy type inequality for seminormed fuzzy integrals

Applied Mathematics and Computation, 2010
The classical Hardy inequality \(\int_0^\infty (\frac Fx)^p\,dx< (\frac p{p-1})^p \int_0^\infty f^p(x) \,dx\) is generalized for seminormed fuzzy integrals. Hardy type inequalities based on an aggregation function for seminormed fuzzy integrals are shown.
Agahi, Hamzeh, Yaghoobi, M. A.
openaire   +1 more source

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