Stability analysis and $H_{∞}$ control of discrete T-S fuzzy hyperbolic systems

Ruirui Duan; Junmin Li; Yanni Zhang; Ying Yang; Guopei Chen

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Displaying similar documents to “Stability analysis and $H_{\infty}$ control of discrete T-S fuzzy hyperbolic systems”

Further results on robust fuzzy dynamic systems with LMI 𝓓-stability constraints

Wudhichai Assawinchaichote (2014)

International Journal of Applied Mathematics and Computer Science

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This paper examines the problem of designing a robust $_{\infty}$ fuzzy controller with -stability constraints for a class of nonlinear dynamic systems which is described by a Takagi-Sugeno (TS) fuzzy model. Fuzzy modelling is a multi-model approach in which simple sub-models are combined to determine the global behavior of the system. Based on a linear matrix inequality (LMI) approach, we develop a robust $_{\infty}$ fuzzy controller that guarantees (i) the ₂-gain of the mapping from the exogenous input...

The study on semicopula based implications

Zuming Peng (2020)

Kybernetika

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Recently, Baczyński et al. (2017) proposed a new family of implication operators called semicopula based implications, which combines a given a priori fuzzy implication and a semicopula. In this paper, firstly, the relationship between the basic properties of the priori fuzzy implication and the semicopula based implication are analyzed. Secondly, the conditions such that the semicopula based implication is a fuzzy implication are studied, the study is carried out mainly in the case...

The convergence of the core of a fuzzy exchange economy

Xia Zhang, Hao Sun, Moses Olabhele Esangbedo, Xuanzhu Jin (2021)

Kybernetika

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This paper focuses on a new model called fuzzy exchange economy (FXE), which integrates fuzzy consumption, fuzzy initial endowment and the agent’s fuzzy preference (vague attitude) in the fuzzy consumption set. Also, the existence of the fuzzy competitive equilibrium for the FXE is verified through a related pure exchange economy. We define a core-like concept (called weak fuzzy core) of the FXE and prove that any fuzzy competitive allocation belongs to the weak fuzzy core. The fuzzy...

Suzuki type fuzzy $𝒵$ -contractive mappings and fixed points in fuzzy metric spaces

Dhananjay Gopal, Juan Martínez-Moreno (2021)

Kybernetika

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In this paper, we propose the concept of Suzuki type fuzzy $𝒵$ -contractive mappings, which is a generalization of Fuzzy $𝒵$ -contractive mappings initiated in the article [S. Shukla, D. Gopal, W. Sintunavarat, A new class of fuzzy contractive mappings and fixed point theorems, Fuzzy Sets and Systems 350 (2018)85-95]. For this type of contractions suitable conditions are framed to ensure the existence of fixed point in $G$ -complete as well as $M$ -complete fuzzy metric spaces. A comprehensive set...

Preservation of properties of fuzzy relations during aggregation processes

Józef Drewniak, Urszula Dudziak (2007)

Kybernetika

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Diverse classes of fuzzy relations such as reflexive, irreflexive, symmetric, asymmetric, antisymmetric, connected, and transitive fuzzy relations are studied. Moreover, intersections of basic relation classes such as tolerances, tournaments, equivalences, and orders are regarded and the problem of preservation of these properties by $n$ -ary operations is considered. Namely, with the use of fuzzy relations $R_{1}, ..., R_{n}$ and $n$ -argument operation $F$ on the interval $[0, 1]$ , a new fuzzy relation $R_{F} = F (R_{1}, ..., R_{n})$ is created....

Fuzzy differential subordinations connected with the linear operator

Sheza M. El-Deeb, Georgia I. Oros (2021)

Mathematica Bohemica

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We obtain several fuzzy differential subordinations by using a linear operator $ℐ_{m, γ}^{n, α} f (z) = z + \sum_{k = 2}^{\infty} {(1 + γ (k - 1))}^{n} m^{α} {(m + k)}^{- α} a_{k} z^{k}$ . Using the linear operator $ℐ_{m, γ}^{n, α},$ we also introduce a class of univalent analytic functions for which we give some properties.

Less conservative $ℋ_{\infty}$ fuzzy control for discrete-time Takagi-Sugeno systems.

Amaral Mozelli, Leonardo, Martinez Palhares, Reinaldo (2011)

Mathematical Problems in Engineering

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Extensions of fuzzy connectives on ACDL

Hui Liu, Bin Zhao (2019)

Kybernetika

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The main goal of this paper is to construct fuzzy connectives on algebraic completely distributive lattice(ACDL) by means of extending fuzzy connectives on the set of completely join-prime elements or on the set of completely meet-prime elements, and discuss some properties of the new fuzzy connectives. Firstly, we present the methods to construct t-norms, t-conorms, fuzzy negations valued on ACDL and discuss whether De Morgan triple will be kept. Then we put forward two ways to extend...

On fuzzy input data and the worst scenario method

Jan Chleboun (2003)

Applications of Mathematics

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In practice, input data entering a state problem are almost always uncertain to some extent. Thus it is natural to consider a set $𝒰_{a d}$ of admissible input data instead of a fixed and unique input. The worst scenario method takes into account all states generated by $𝒰_{a d}$ and maximizes a functional criterion reflecting a particular feature of the state solution, as local stress, displacement, or temperature, for instance. An increase in the criterion value indicates a deterioration in the featured...

Stability of softly switched multiregional dynamic output controllers with a static antiwindup filter: A discrete-time case

Tomasz Zubowicz, Mietek A. Brdyś (2013)

International Journal of Applied Mathematics and Computer Science

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This paper addresses the problem of model-based global stability analysis of discrete-time Takagi-Sugeno multiregional dynamic output controllers with static antiwindup filters. The presented analyses are reduced to the problem of a feasibility study of the Linear Matrix Inequalities (LMIs), derived based on Lyapunov stability theory. Two sets of LMIs are considered candidate derived from the classical common quadratic Lyapunov function, which may in some cases be too conservative, and...

Displaying similar documents to “Stability analysis and H ∞ control of discrete T-S fuzzy hyperbolic systems”

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