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Solution sets for systems of linear interval equations
Computer Assisted Methods in Engineering and Science, 2023 The paper discusses various classes of solution sets for linear interval systems of equations, and their properties. Interval methods constitute an important mathematical and computational tool for modelling real-world systems (especially mechanical ...
Zenon Kulpa, Karol Rosłaniec
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Polynomial and Pseudopolynomial Procedures for Solving Interval Two-Sided (Max, Plus)-Linear Systems
Mathematics, 2021 Max-plus algebra is the similarity of the classical linear algebra with two binary operations, maximum and addition. The notation Ax = Bx, where A, B are given (interval) matrices, represents (interval) two-sided (max, plus)-linear system.
Helena Myšková, Ján Plavka
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Optimal control of non-stationary differential linear repetitive processes [PDF]
, 2008 Differential repetitive processes are a distinct class of continuousdiscrete 2D linear systems of both systems theoretic and applications interest. The feature which makes them distinct from other classes of such systems is the fact that information ...
Dymkou, S +3 more
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On the solution of interval linear systems [PDF]
Computing, 1992 In the literature efficient algorithms have been described for calculating guaranteed inclusions for the solution of a number of standard numerical problems [3], [4], [8], [11], [12], [13]. The inclusions are given by means of a set containing the solution.
openaire +2 more sources
INTERVAL STATE ESTIMATION FOR SINGULAR DIFFERENTIAL EQUATION SYSTEMS WITH DELAYS [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2016 The paper deals with linear differential equation systems with algebraic restrictions (singular systems) and a method of interval observer design for this kind of systems.
T. A. Kharkovskaia +2 more
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New Interval Oscillation Criteria for Certain Linear Hamiltonian Systems
Discrete Dynamics in Nature and Society, 2013 Using a generalized Riccati transformation and the general integral means technique, some new interval oscillation criteria for the linear matrix Hamiltonian system U'=(A(t)-λ(t)I)U+B(t)V, V'=C(t)U+(μ(t)I-A*(t))V, t≥t0 are obtained.
Jing Shao, Fanwei Meng
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Computation, 2021 The problem of delay-range-dependent stability analysis for linear systems with distributed time-varying delays and nonlinear perturbations is studied without using the model transformation and delay-decomposition approach.
Jitsin Piyawatthanachot +2 more
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Stability of Interval Positive Fractional Discrete–Time Linear Systems
International Journal of Applied Mathematics and Computer Science, 2018 The aim of this work is to show that interval positive fractional discrete-time linear systems are asymptotically stable if and only if the respective lower and upper bound systems are asymptotically stable.
Kaczorek Tadeusz
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Synthesis of robust control algorithms for linear interval dynamic systems in the electric power industry [PDF]
E3S Web of Conferences, 2020 When studying the objects of management in the field of electric power, we meet with various inaccuracies in determining their parameters. One of the methods of dealing with uncertainties is the use of various estimates of the parameters of the control ...
Boldyrev Igor +5 more
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Subsquares Approach - Simple Scheme for Solving Overdetermined Interval Linear Systems
, 2013 In this work we present a new simple but efficient scheme - Subsquares approach - for development of algorithms for enclosing the solution set of overdetermined interval linear systems. We are going to show two algorithms based on this scheme and discuss
A Neumaier +7 more
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