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Related papers: Fuzzy linear systems and core-EP inverses

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Linearized models of power systems are often desirable to formulate tractable control and optimization problems that still reflect real-world physics adequately under various operating conditions. In this paper, we propose an approach that…

Optimization and Control · Mathematics 2018-05-28 Marc Hohmann , Joseph Warrington , John Lygeros

A few of the algebraic and topological properties of int. fuzzy continuity and int. fuzzy uniform continuity are investigated. Also, the concept of int. fuzzy uniform convergence is introduced thereafter a few result on int. fuzzy uniform…

General Mathematics · Mathematics 2009-11-10 Bivas Dinda , T. K. Samanta

In this paper, we introduce a new type fuzzy boundary and study some related set theoretic identities. Further, this new type of fuzzy boundary is compared with different existing fuzzy boundaries.

General Mathematics · Mathematics 2012-08-13 J. Mahanta , P. K. Das

The buckling instabilities of core-shell systems, comprising an interior elastic sphere, attached to an exterior shell, have been proposed to underlie myriad biological morphologies. To fully discuss such systems, however, it is important…

Soft Condensed Matter · Physics 2023-07-12 Yingzhen Tian , Megan McCarthy , Megan King , S. G. J. Mochrie

Real-world data contain uncertainty and variations that can be correlated to external variables, known as randomness. An alternative cause of randomness is chaos, which can be an important component of chaotic time series. One of the…

Linearization based controllers for incompressible flows have been proven to work in theory and in simulations. To realize such a controller numerically, the infinite dimensional system has to be linearized and discretized. The unavoidable…

Dynamical Systems · Mathematics 2019-11-05 Jan Heiland

It is well-understood that the robustness of mechanical and robotic control systems depends critically on minimizing sensitivity to arbitrary application-specific details whenever possible. For example, if a system is defined and performs…

Signal Processing · Electrical Eng. & Systems 2018-06-06 Bo Zhang , Jeffrey Uhlmann

In many cases the correct theoretical description of flexoelectricity requires the consideration of the finite size of a body and is reduced to the solution of boundary problems for partial differential equations. Generally speaking, in…

Materials Science · Physics 2015-01-20 A. S. Yurkov

In this note we compare even and odd fuzzy sphere constructions, their dimensional reductions and possible (M)atrix actions having them as solutions. We speculate on how the fuzzy 5-sphere might appear as a solution to the pp wave (M)atrix…

High Energy Physics - Theory · Physics 2007-05-23 Horatiu Nastase

In this paper we introduce a fuzzy constraint linear discriminant analysis (FC-LDA). The FC-LDA tries to minimize misclassification error based on modified perceptron criterion that benefits handling the uncertainty near the decision…

Artificial Intelligence · Computer Science 2017-01-02 Hamid Reza Hassanzadeh , Hadi Sadoghi Yazdi , Abedin Vahedian

Today manufacturers are using fuzzy logic in everything from cameras to industrial process control. Fuzzy logic controllers are easier to design and so are cheaper to produce. Fuzzy logic captures the impreciseness inherent in most input…

Other Computer Science · Computer Science 2010-05-17 S. Sanyal , S. Iyengar , A. A. Roy , N. N. Karnik , N. M. Mengale , S. B. Menon , Wu Geng Feng

The aim of this work is to characterize linear maps of inner pro\-duct infinite-dimensional vector spaces where the Moore-Penrose inverse exists. This MP inverse generalizes the well-known Moore-Penrose inverse of a matrix $A\in…

Rings and Algebras · Mathematics 2020-07-07 V. Cabezas Sánchez , F. Pablos Romo

In this paper, we propose and study several inverse problems of identifying/determining unknown coefficients for a class of coupled PDE systems by measuring the average flux data on part of the underlying boundary. In these coupled systems,…

Analysis of PDEs · Mathematics 2023-05-19 Ming-Hui Ding , Hongyu Liu , Guang-Hui Zheng

This paper provides an analysis of the linearized inverse problem in multifrequency electrical impedance tomography. We consider an isotropic conductivity distribution with a finite number of unknown inclusions with different frequency…

Numerical Analysis · Mathematics 2016-10-06 Giovanni S. Alberti , Habib Ammari , Bangti Jin , Jin-Keun Seo , Wenlong Zhang

In this paper we consider interpolation problem connected with series by integer shifts of Gaussians. Known approaches for these problems met numerical difficulties. Due to it another method is considered based on finite-rank approximations…

Classical Analysis and ODEs · Mathematics 2020-07-07 S. M. Sitnik , A. S. Timashov , S. N. Ushakov

Iterative methods based on matrix splittings are useful in solving large sparse linear systems. In this direction, proper splittings and its several extensions are used to deal with singular and rectangular linear systems. In this article,…

Numerical Analysis · Mathematics 2019-07-08 Ashish Kumar Nandi , Jajati Keshari Sahoo , Debasisha Mishra

Complexity and nonlinear behaviours of inverted pendulum system make its control design a very challenging task. In this paper, a hybrid fuzzy adaptive control system using model reference approach is designed for inverted-pendulum system…

Systems and Control · Electrical Eng. & Systems 2019-10-18 Abdulbasid Ismail Isa , Mukhtar Fatihu Hamza , Mustapha Muhammad

Fuzzy clustering is a famous unsupervised learning method used to collecting similar data elements within cluster according to some similarity measurement. But, clustering algorithms suffer from some drawbacks. Among the main weakness…

Neural and Evolutionary Computing · Computer Science 2018-02-27 Waleed Alomoush , Ayat Alrosan

In the recent paper [17] the first experimental determination of the density matrix of a free electron beam has been reported. The employed method leads to a linear inverse problem with a positive semidefinite operator as unknown. The…

Analysis of PDEs · Mathematics 2020-02-19 Cong Shi , Claus Ropers , Thorsten Hohage

This work provides a complete characterization of the solutions of a linear interpolation problem for vector polynomials. The interpolation problem consists in finding n scalar polynomials such that an equation involving a linear…

Classical Analysis and ODEs · Mathematics 2015-06-24 Mikhail Kudryavtsev , Sergio Palafox , Luis O. Silva