Results 251 to 260 of about 85,308 (311)

T-S fuzzy controller design for Rotary Inverted Pendulum with input delay using Wirtinger-based integral inequality

International Conference on Control, Automation and Systems, 2022
This paper investigates a Takagi-Sugeno fuzzy descriptor approach for designing a input delay controller for a rotary inverted pendulum. The rotary inverted pendulum, under-actuated system, is considered a benchmark for verifying the performance of ...
Y.J. Kim, Y.G. Lee, S.H. Lee, O. Kwon
semanticscholar   +1 more source

Event-triggered observer-based sliding mode control for T-S fuzzy systems via improved relaxed-based integral inequality

Journal of the Franklin Institute, 2020
This paper performs the observer-based exponential stabilization criterion for event-triggered fuzzy systems using observer-based sliding mode fuzzy control subject to limited communication resources and unmeasurable premise variables.
G. Nagamani, C. Karthik, Y. Joo
semanticscholar   +1 more source

Hermite–Hadamard inequality for fuzzy integrals

Applied Mathematics and Computation, 2009
1 ...
Caballero, J., Sadarangani, K.
openaire   +3 more sources

Stability and stabilization of T-S fuzzy systems with variable delays via new Bessel-Legendre polynomial based relaxed integral inequality

Information Sciences, 2020
This paper investigates the delay-range-dependent (DRD) stability problem in regards to continuous time Takagi–Sugeno (T–S) fuzzy system with variable delays. First, a new integral inequality Lemma referred herein as higher order polynomial based relaxed
R. Datta, R. Dey, B. Bhattacharya, Ramasamy Saravanakumar, O. Kwon   +4 more
semanticscholar   +1 more source

Steffensen type inequalities for fuzzy integrals

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kaluszka, Marek, Boczek, Michal
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A review on some fuzzy integral inequalities

2021
Summary: In this paper, we introduce fuzzy measure and fuzzy integral concepts and express some of the fuzzy integral properties. The main purpose of this article is to reviewing of some important mathematical inequalities that have many applications in modeling mathematical problems.
openaire   +1 more source

A Cauchy–Schwarz type inequality for fuzzy integrals

Nonlinear Analysis: Theory, Methods & Applications, 2010
In this paper we prove a Cauchy-Schwarz type inequality for fuzzy integrals.
Caballero, J., Sadarangani, K.
openaire   +2 more sources

A Jensen type inequality for fuzzy integrals

Information Sciences, 2007
The classical Jensen inequality for the Lebesgue integral is related to the convexity of discussed transforming functions, and it fails, in general, for the Sugeno integral. However, modifying the convexity by the boundedness by the identity as proposed in this paper, the authors show a version of Jensen's inequality for the Sugeno integral.
Román-Flores, H., Flores-Franulič, C. A., Chalco-Cano, Y.   +2 more
openaire   +1 more source

A Chebyshev type inequality for fuzzy integrals

Applied Mathematics and Computation, 2007
The classical Chebyshev's integral inequality \(\int_0^1 fg \,d\mu \geq(\int_0^1 f \,d\mu )(\int_0^1 g \,d\mu)\) for \(f, g: [0,1] \to [0, \infty )\) of the same monotonicity type is shown for the case, when the Lebesgue integral is replaced by the Sugeno integral. As a corollary an analogous result for finite number of fuctions is included.
Flores-Franulič, A., Román-Flores, H.
openaire   +2 more sources

Stability analysis of T–S fuzzy systems with time-varying delay via parameter-dependent reciprocally convex inequality

International Journal of Systems Science, 2023
The stability problem of T–S fuzzy systems with time-varying delay is investigated in this article. The purpose is to establish the less conservative stability conditions for T–S fuzzy systems with time-varying delays.
Huichao Lin, Jiuxiang Dong
semanticscholar   +1 more source