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Interval linear systems as a necessary step in fuzzy linear systems [PDF]
Fuzzy Sets and Systems, 2015 International audienceThis article clarifies what it means to solve a system of fuzzy linear equations, relying on the fact that they are a direct extension of interval linear systems of equations, already studied in a specific interval mathematics ...
Dubois, Didier, Lodwick, Weldon
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AE solutions to two-sided interval linear systems over max-plus algebra [PDF]
Journal of Inequalities and Applications, 2018 This paper introduces a concept of AE solutions to two-sided interval max-plus linear systems, a rather general concept which includes many known concepts of solutions to interval systems, in particular, weak, strong, tolerance and control solutions as ...
Lihua Wang, Wei Li, Haohao Li
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Interval State Estimation of Linear Multicellular Systems
Complexity, 2019 Linear multicellular system is a type of differential inclusion system, which can be deemed as an extension of linear control system with set-valued mapping.
Zhaoxia Huang, Jun Liu, Fucai Qian
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A novel linear algebra-based method for complex interval linear systems in circuit analysis [PDF]
HeliyonIn this paper, systems of multivariate interval linear equations with complex interval coefficients are examined, and a novel linear algebra-based approach for locating all of their solutions is proposed.
Maryam Farahmand Nejad +2 more
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Stability Analysis of Linear Systems With Interval Time-Varying Delay
IEEE Access, 2023 In this paper, the problem of stability of systems with a time delay is investigated. The time delay is assumed to vary in an interval, and its derivative is unknown.
Yu-Jie Chen, Hong-Bing Zeng
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The Stability Interval of the Set of Linear System [PDF]
International Journal of Electronics and Telecommunications, 2021 The article considers the problem of stability of interval-defined linear systems based on the Hurwitz and Lienard- Shipar interval criteria. Krylov, Leverier, and Leverier- Danilevsky algorithms are implemented for automated construction and analysis of
Talgat Mazakov +5 more
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Reduced-order observer-based interval estimation for discrete-time linear systems
Systems Science & Control Engineering, 2021 This paper proposes an interval estimation method for discrete-time linear systems by designing robust reduced-order observer with reachability analysis.
Yantao Chen +3 more
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Robust Dissipativity of Interval Uncertain Linear Systems [PDF]
SIAM Journal on Control and Optimization, 2003 The paper describes another interesting control theory application of the powerful ``matrix cube theorem'' proposed by \textit{A. Ben-Tal} and \textit{A. Nemirovski} in their excellent textbook [Lectures on modern convex optimization, SIAM, Philadelphia, PA (2001; Zbl 0986.90032)].
Barb, FD, Ben-Tal, A, Nemirovski, A
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A Symbolic Algorithm for Solving Doubly Bordered k-Tridiagonal Interval Linear Systems
International Journal of Analysis and Applications, 2023 Doubly bordered k-tridiagonal interval linear systems play a crucial role in various mathematical and engineering applications where uncertainty is inherent in the system’s parameters. In this paper, we propose a novel symbolic algorithm for solving such
Sivakumar Thirupathi +1 more
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Least Squares Method for Solving Fuzzy LR Interval Algebraic Linear Systems
Fuzzy Information and Engineering, 2022 We first investigate the solvability conditions of fuzzy LR interval algebraic linear systems with fuzzy LR interval coefficient matrix and fuzzy LR interval hand-right vector.
Mehrnoosh Salari +2 more
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