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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

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.
Hamzeh Agahi, Mohammed Ali Yaghoobi
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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

Choquet integral Jensen’s inequalities for set-valued and fuzzy set-valued functions

Soft Computing, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Deli Zhang   +3 more
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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

Berwald and Favard Type Inequalities for Fuzzy Integrals

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2016
This paper propose a Berwald type inequality and a Favard type inequality for Sugeno integrals. That is, we first show that [Formula: see text] holds for some constant [Formula: see text] where f is a monotone and concave function on [0, 1] and [Formula: see text] is the Lebesgue measure on [Formula: see text].
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Chebyshev type inequalities for general fuzzy integrals

Information Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ON AN EXTENDED CHEBYSHEV TYPE INEQUALITY FOR SEMI(CO)NORMED FUZZY INTEGRALS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2011
The aim of the present paper is to establish an extended Chebyshev type inequality for semi(co)normed fuzzy integrals based on an aggregation function and a scale transformation. The extended Chebyshev type inequality given in this paper provides a generalization of some previous results.
Hamzeh Agahi, Mohammed Ali Yaghoobi
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A Hadamard-type inequality for fuzzy integrals based on r-convex functions

Soft Computing, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sadegh Abbaszadeh, Madjid Eshaghi
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A Novel Proportional-Integral-Parameter Zeroing Neural Network and Its Application to the Quaternion-Valued Time-Varying Linear Matrix Inequality

IEEE Transactions on Emerging Topics in Computing
Zeroing neural network (ZNN) with variable convergence parameter has been a research hotspot recently, and it can be divided into two categories: the varying-parameter ZNN (VP-ZNN) model, and the fuzzy-parameter ZNN (FP-ZNN) model. Both of the two models
Jiajie Luo   +6 more
semanticscholar   +1 more source

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