Analytical descriptions of quantifier solutions to interval linear systems of relations
Mathematics Open, 2022 We study systems of relations of the form [Formula: see text], where [Formula: see text] is a vector of binary relations with the components “[Formula: see text]”, “[Formula: see text]”, and “[Formula: see text]”, while the parameters (elements of the ...
Irene A. Sharaya, Sergey P. Shary
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A different view on controllability and observability of continuous time linear systems with interval coefficients [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2020 We discuss the controllability and observability of time-invariant (continuous time) linear systems with interval coefficients using the notion of being full rank of interval matrices.
H.S. Amiri, A.H. Borzabadi, A. Heydari
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A survey on interval observer design using positive system approach
Franklin Open, 2023 Interval observers provide an interval state estimate for system states that cannot be measured directly at any moment. The core idea for the interval observer design is to provide the cooperativity of the estimated error dynamic system through a proper ...
Zhipeng Zhang, Jun Shen
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Interval Prediction for Continuous-Time Systems with Parametric Uncertainties [PDF]
, 2019 The problem of behaviour prediction for linear parameter-varying systems is considered in the interval framework. It is assumed that the system is subject to uncertain inputs and the vector of scheduling parameters is unmeasurable, but all uncertainties ...
Efimov, Denis +3 more
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Long-Range Correlations in Self-Gravitating N-Body Systems [PDF]
, 2002 Observed self-gravitating systems reveal often fragmented non-equilibrium structures that feature characteristic long-range correlations. However, models accounting for non-linear structure growth are not always consistent with observations and a better ...
Huber, Daniel, Pfenniger, Daniel
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Enclosures for the solution set of parametric interval linear systems
International Journal of Applied Mathematics and Computer Science, 2012 We investigate parametric interval linear systems of equations. The main result is a generalization of the Bauer–Skeel and the Hansen–Bliek–Rohn bounds for this case, comparing and refinement of both.
Hladík Milan
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New Method for Solving Fuzzy LR Interval Linear Systems Using Least Squares Models
Fuzzy Information and Engineering, 2022 Recently, Ghanbari and Mahdavi-Amiri [2015, Soft Computing] have proposed a model to characterize exact solutions and presented an algorithm to compute approximate solutions.
Mehrnoosh Salari +2 more
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Unique Determination of Sound Speeds for Coupled Systems of Semi-linear Wave Equations [PDF]
, 2018 We consider coupled systems of semi-linear wave equations with different sound speeds on a finite time interval $[0,T]$ and a bounded Lipschitz domain $\Omega$ in $\mathbb{R}^3$, with boundary $\partial\Omega$.
Waters, Alden
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Functional Interval Estimation for Continuous-Time Linear Systems*
IFAC-PapersOnLine, 2023 This paper presents a functional interval estimation method for continuous-timesystems subject to disturbances and noise. First, a robust functional observer is synthesised to attenuate the effects of uncertainties. Then, based on interval analysis, an interval-based method is proposed to achieve tight functional interval estimation.
Ma, Youdao +4 more
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Two Iterative Methods for Solving Linear Interval Systems
Applied Computational Intelligence and Soft Computing, 2018 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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