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    Conditional Stability and Asymptotic Behavior of Solutions of Weakly Delayed Linear Discrete Systems in R2 by Josef Diblík, Hana Halfarová, Jan Šafařík

    Published 2017-01-01
    “…Two-dimensional linear discrete systems x(k+1)=Ax(k)+∑l=1nBlxl(k-ml),  k≥0, are analyzed, where m1,m2,…,mn are constant integer delays, 0<m1<m2<⋯<mn, A, B1,…,Bn are constant 2×2 matrices, A=(aij), Bl=(bijl),  i,j=1,2,  l=1,2,…,n, and x:{-mn,-mn+1,…}→R2. …”
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    Environmental Evaluation of Coal Mines Based on Generalized Linear Model and Nonlinear Fuzzy Analytic Hierarchy by Xueming Du, Hongyuan Fang, Kang Liu, Binghan Xue, Xin Cai

    Published 2020-01-01
    “…In this paper, a comprehensive environmental evaluation model of coal mines was established based on generalized linear theory and fuzzy analytic hierarchy processes. …”
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  10. 1610

    On Distributed Reduced-Order Observer-Based Protocol for Linear Multiagent Consensus under Switching Topology by Yan Zhang, Lixin Gao, Changfei Tong

    Published 2013-01-01
    “…We discuss linear multiagent systems consensus problem with distributed reduced-order observer-based protocol under switching topology. …”
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  11. 1611

    ϵ-Henig Saddle Points and Duality of Set-Valued Optimization Problems in Real Linear Spaces by Zhi-Ang Zhou

    Published 2013-01-01
    “…We study ϵ-Henig saddle points and duality of set-valued optimization problems in the setting of real linear spaces. Firstly, an equivalent characterization of ϵ-Henig saddle point of the Lagrangian set-valued map is obtained. …”
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    A linear filter regularization for POD-based reduced-order models of the quasi-geostrophic equations by Girfoglio, Michele, Quaini, Annalisa, Rozza, Gianluigi

    Published 2023-03-01
    “…Our regularization is based on the so-called BV-$\alpha $ model, which modifies the nonlinear term in the QGE and adds a linear differential filter for the vorticity. To show the effectiveness of the BV-$\alpha $ model for ROM closure, we compare the results computed by a POD-Galerkin ROM with and without regularization for the classical double-gyre wind forcing benchmark. …”
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  14. 1614

    Exact Null Controllability, Stabilizability, and Detectability of Linear Nonautonomous Control Systems: A Quasisemigroup Approach by Sutrima Sutrima, Christiana Rini Indrati, Lina Aryati

    Published 2018-01-01
    “…The results show that, in the linear nonautonomous control systems, there are equivalences among internal stability, stabizability, detectability, and input-output stability. …”
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    Exploring the non-linear impact of information and communication technology, globalization, and geopolitical risks on poverty in Pakistan by Nabila Khurshid, Nabila Akram, Mudassar Rashid

    Published 2025-06-01
    “…This study examines the relationship between information and communication technology (ICT), geopolitical risks (GPR), and globalization in Pakistan from 1980 to 2022, with a focus on their impact on poverty. Using the Non-linear Autoregressive Distributive Lag (NARDL) model, the findings reveal that improvements in ICT infrastructure (ICT_POS) significantly reduce poverty, while setbacks in ICT (ICT_NEG) have minimal impact. …”
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    Linearized Harmonic Balance Method for Seeking the Periodic Vibrations of Second- and Third-Order Nonlinear Oscillators by Chein-Shan Liu, Chung-Lun Kuo, Chih-Wen Chang

    Published 2025-01-01
    “…To solve the nonlinear vibration problems of second- and third-order nonlinear oscillators, a modified harmonic balance method (HBM) is developed in this paper. In the linearized technique, we decompose the nonlinear terms of the governing equation on two sides via a constant weight factor; then, they are linearized with respect to a fundamental periodic function satisfying the specified initial conditions. …”
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