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Variation diminution and intervals of sign regular matrices
A sign regular matrix is a matrix having the property that its non-zero minors of all orders have, for each order, an identical sign. Such matrices arise in a wide range of applications. In this paper, intervals of real matrices with respect to the usual
Mohammad Adm, Jürgen Garloff
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A Mixed H2/H∞ Control Method for UAV Based on T-S Fuzzy Model
A mixed H2/H∞ control strategy was proposed in this paper to achieve a stable tracking trajectory of the UAV(unmanned aerial vehicle). Firstly, the quadrotor UAV was divided into three subsystems: the altitude, the position and the attitude. By selecting
SUN Miaoping, DING Nan, NIAN Xiaohong
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This work focuses on a multiagent system (MAS) with time-varying interval uncertainty in the system matrix, where multiple agents interact through an undirected topology graph and only the bounding matrices on the uncertainty in the system matrix are ...
Hui Luo, Jin Zhao, Quan Yin
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PERMANENT AND DOMINANT OF MATRIX OVER INTERVAL MIN-PLUS ALGEBRA
A min-plus algebra is a set , where is the set of all real numbers equipped with two binary operations, namely minimum and addition . Every square matrix in min-plus algebra can always be calculated as a permanent and dominant matrix.
Ade Safira Septiany +2 more
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An improved interval-valued intuitionistic fuzzy multi-attribute group decision-making method considering the risk preference of decision-makers is proposed to solve the multi-attribute group decision-making problem with interval-valued intuitionistic ...
Sha Fu, Ye-zhi Xiao, Hang-jun Zhou
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Interval matrix differential equations
The matrix differential equation $x'(t) = Q(t)x(t), x(0) = x_0$ is considered in the case where $Q(t)$ is an unspecified matrix function of time, with the only constraint that $Q(t)\in \mset$ for every $t$, where $\mset$ is a prescribed closed and convex set of matrices.
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Two Iterative Methods for Solving Linear Interval Systems
Conjugate gradient is an iterative method that solves a linear system Ax=b, where A is a positive definite matrix. We present this new iterative method for solving linear interval systems Ãx̃=b̃, where à is a diagonally dominant interval matrix, as ...
Esmaeil Siahlooei +1 more
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Interval max-plus matrix equations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Matrix Completion Under Interval Uncertainty: Highlights [PDF]
We present an overview of inequality-constrained matrix completion, with a particular focus on alternating least-squares (ALS) methods. The simple and seemingly obvious addition of inequality constraints to matrix completion seems to improve the statistical performance of matrix completion in a number of applications, such as collaborative filtering ...
Jakub Marecek +2 more
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Characteristic Polynomial and Eigenproblem of Triangular Matrix over Interval Min-Plus Algebra
A min-plus algebra is a linear algebra over the semiring R_ε', equipped with the operations “"⊕'=min" ” and “⊗=+”. In min-plus algebra, there is the concept of characteristic polynomial obtained from permanent of matrix.
Anita Dwi Rahmawati +2 more
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