Results 41 to 50 of about 55,382 (309)
On fuzzy integral inequalities and fuzzy expectation
Journal of Mathematical Analysis and Applications, 1987 The authors consider some inequalities and some equalities for Sugeno's fuzzy integrals taking values in the positive extended reals. They may be regarded as extensions of the following theorem: \(\int h d\mu =k\quad \Leftrightarrow \quad \mu (\{h\geq k\})\geq k\geq \mu (\{h>k\}).\) Furthermore, the authors give a kind of fuzzy equation and its ...
DI NOLA, Antonio +1 more
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Fuzzy Static Output Control of T–S Fuzzy Stochastic Systems via Line Integral Lyapunov Function [PDF]
, 2021 Considering some unmeasurable states, a fuzzy static output control problem of nonlinear stochastic systems is discussed in this paper. Based on a modelling approach, a Takagi–Sugeno (T–S) fuzzy system, constructed by a family of stochastic differential ...
Yu-Yen Hsieh +3 more
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Bellman Type Inequality for Sugeno Integrals [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we prove Bellman type inequality for Sugeno integral and generalize it for pseudo-integrals. Furthermore, we generalize the Bellman's inequality in abstract spaces.
Bayaz Daraby, Ramin Mosalman
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Markov type inequalities for fuzzy integrals
Applied Mathematics and Computation, 2009 Given a fuzzy measure space \((X,\Sigma,\mu)\) and a \(\mu\)-measurable nonnegative function \(f:X\to[0,\infty)\), a typical result from the paper is the following inequality: For ...
A. Flores-Franulic +2 more
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Inequalities and Stability of Stochastic Fuzzy Delayed Cohen-Grossberg Neural Networks
IEEE Access, 2023 Stability is an important indicator for evaluating complex dynamic systems’ performance. Many problems in practice are abstracted into the stability of networks.
Hebing Zhang
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New relaxed stability and stabilization conditions for T‐S fuzzy systems with time‐varying delays
IET Control Theory & Applications, 2021 This paper investigates the stability analysis and stabilization of T‐S fuzzy systems with time‐varying delays. First, a new augmented Lyapunov–Krasovskii functional is constructed, delay‐dependent stability criteria in terms of linear matrix ...
Kun Zhou, Binrui Wang, Shunan Qi
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A convolution type inequality for fuzzy integrals
Applied Mathematics and Computation, 2008 Given a nonnegative Lebesgue measurable function \(f:[0,1]\to [0,\infty)\), the Sugeno (or fuzzy) integral of \(f\) is defined by \[ -\mkern-18mu\int_0^1f(t)dt :=\sup_{\alpha\geq0}\min\big(\alpha,\mu\{x\in[0,1]:f(x)\geq\alpha\}\big), \] where \(\mu\) stands for the Lebesgue measure.
Heriberto Román-Flores +2 more
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Fuzzy-PI Controller Using Line Integral Lyapunov Fuzzy Function: Application to Electric Vehicle Powered by PMSM Motor [PDF]
, 2023 International audienceThis paper proposes a robust control strategy for electric vehicles, equipped with a permanent magnet synchronous motor (PMSM), which aims to stabilize and guarantee the optimal tracking of the reference speed.First, a model is ...
Mouhib, Omar +4 more
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IEEE Access, 2020 In this paper, an extended disturbance observer-based integral sliding-mode control for a nonlinear system is proposed by the Takagi-Sugeno (T–S) fuzzy model approach.
Sounghwan Hwang, Han Sol Kim
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IEEE Access, 2020 An integral state feedback control method based on T-S fuzzy model is proposed for nonlinear and unstable magnetic levitation ball system in this paper. Firstly, the fuzzy model of the magnetic levitation ball is derived from the nonlinear dynamic model ...
Jinggang Zhang +2 more
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