Suchergebnisse - $L^{\infty}$-norm computation

  1. 1

    {L}^{\infty}$-norm computation for linear time-invariant systems depending on parameters von Quadrat, Alban, Rouillier, Fabrice, Younes, Grace

    ISSN: 2564-3029
    Veröffentlicht: Western Libraries Western University 01.06.2024
    Veröffentlicht in Maple Transactions (01.06.2024)
    “… This paper focuses on representing the $L^{\infty}$-norm of finite-dimensional linear time-invariant systems with parameter-dependent coefficients …”
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    Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils von Benner, P., Sima, V., Voigt, M.

    ISSN: 0018-9286, 1558-2523
    Veröffentlicht: New York IEEE 01.01.2012
    Veröffentlicht in IEEE transactions on automatic control (01.01.2012)
    “… In this technical note, we discuss an algorithm for the computation of the L ∞ -norm of transfer functions related to descriptor systems …”
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    ({L}^{\infty}\)-norm computation for linear time-invariant systems depending on parameters von Quadrat, Alban, Rouillier, Fabrice, Younes, Grace

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 04.12.2023
    Veröffentlicht in arXiv.org (04.12.2023)
    “… This paper focuses on representing the \(L^{\infty}\)-norm of finite-dimensional linear time-invariant systems with parameter-dependent coefficients …”
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  5. 5

    Large-Scale Computation of \({\mathcal L}_\infty\)-Norms by a Greedy Subspace Method von Aliyev, Nicat, Benner, Peter, Mengi, Emre, Schwerdtner, Paul, Voigt, Matthias

    ISSN: 2331-8422
    Veröffentlicht: Ithaca Cornell University Library, arXiv.org 02.06.2017
    Veröffentlicht in arXiv.org (02.06.2017)
    “… We are concerned with the computation of the \({\mathcal L}_\infty\)-norm for an \({\mathcal L}_\infty\)-function of the form …”
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    Robust Stability Analysis of Sampled-Data Systems with Uncertainties Characterized by the }\infty-induced Norm: Gridding Treatment with Convergence Rate Analysis von Kwak, Dohyeok, Kim, Jung Hoon, Hagiwara, Tomomichi

    ISSN: 0018-9286, 1558-2523
    Veröffentlicht: IEEE 01.12.2023
    Veröffentlicht in IEEE transactions on automatic control (01.12.2023)
    “… ) sampled-data system and a structured linear time-varying (LTV) model uncertainty. When the <inline-formula><tex-math notation="LaTeX">{\mathcal {L}}_\infty</tex-math …”
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    L^{\infty}(H_{{{\rm{div}}}}) \times W^{1,\infty}(L^2) $-norm superconvergence of mixed finite element schemes applied to multidimensional parabolic equations von Benkhaldoun, Fayssal, Bradji, Abdallah

    ISSN: 2837-0562, 2837-0562
    Veröffentlicht: 2025
    Veröffentlicht in Communications on Analysis and Computation (2025)
    “… ) applied to multidimensional parabolic equations, which are proved only in the $ L^\infty( \left( L^2 \right)^d) \times L^\infty(L^2) $-norm (the $ L^\infty( \left( L^2 …”
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    Classification of the extreme points of ${\mathcal L}_s(^2l_{\infty}^3)$ by computation von Kim, Sung Guen

    ISSN: 2075-9827, 2313-0210
    Veröffentlicht: Vasyl Stefanyk Precarpathian National University 12.11.2022
    Veröffentlicht in Karpats'kì matematinì publìkacìï (12.11.2022)
    “… Let $l_{\infty}^3=\mathbb{R}^3$ be endowed with the supremum norm. In [Comment. Math. 2017,  57 (1), 1-7], S.G. Kim classified the extreme points of the unit ball …”
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    Tight interval state estimate for discrete‐time descriptor linear systems von Lamouchi, Rihab, Meslem, Nacim, Raïssi, Tarek

    ISSN: 1049-8923, 1099-1239
    Veröffentlicht: Bognor Regis Wiley Subscription Services, Inc 25.05.2024
    “… The observer gains are calculated using L∞$$ {L}_{\infty } $$ norm to attenuate the effects of the uncertainties and to improve the accuracy of the proposed estimator …”
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    On the L∞ convergence of a novel fourth-order compact and conservative difference scheme for the generalized Rosenau-KdV-RLW equation von Li, Shuguang, Kravchenko, Oleg V., Qu, Kai

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: New York Springer US 01.10.2023
    Veröffentlicht in Numerical algorithms (01.10.2023)
    “… The discrete conservation laws are given, and a priori estimates of the difference solution in maximum norm are obtained by applying mathematical induction …”
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    The ∞/p$$ {\ell}_{\infty /p} $$‐gains for discrete‐time observer‐based event‐triggered systems von Park, Hae Yeon, Choi, Hyung Tae, Kim, Jung Hoon

    ISSN: 1049-8923, 1099-1239
    Veröffentlicht: Bognor Regis Wiley Subscription Services, Inc 25.07.2023
    “… Based on this representation, we establish LMI‐based computation approaches to the gains for the ETSs from ℓp$$ {\ell}_p $$ to ℓ∞$$ {\ell}_{\infty } $$ (denoted by ℓ∞/p$$ {\ell}_{\infty /p} $$) with p=2,∞$$ p=2,\infty $$. Finally, the effectiveness of the overall arguments is verified through a numerical example …”
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    An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations von Ali, Ihteram, Haq, Sirajul, Nisar, Kottakkaran Sooppy, Baleanu, Dumitru

    ISSN: 1687-1847, 1687-1839, 1687-1847
    Veröffentlicht: Cham Springer International Publishing 11.01.2021
    Veröffentlicht in Advances in difference equations (11.01.2021)
    “… We propose a polynomial-based numerical scheme for solving some important nonlinear partial differential equations (PDEs). In the proposed technique, the …”
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    Computing the Stochastic ^\infty -Norm by a Newton Iteration von Damm, Tobias, Benner, Peter, Hauth, Jan

    ISSN: 2475-1456, 2475-1456
    Veröffentlicht: IEEE 01.07.2017
    Veröffentlicht in IEEE control systems letters (01.07.2017)
    “… The stochastic H ∞ -norm is defined as the L 2 -induced norm of the input-output operator of a stochastic linear system …”
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    H2 Analysis of LTI Systems via Conversion to Externally Positive Systems von Ebihara, Yoshio

    ISSN: 0018-9286
    Veröffentlicht: IEEE 01.08.2018
    Veröffentlicht in IEEE transactions on automatic control (01.08.2018)
    “… A typical example is the computation of the <inline-formula><tex-math notation="LaTeX">H_2</tex-math></inline-formula> norm, where we focus on squared impulse responses …”
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    Multiple-View Geometry Under the -Norm von Kahl, F., Hartley, R.

    ISSN: 0162-8828, 1939-3539
    Veröffentlicht: New York IEEE 01.09.2008
    “… This paper presents a new framework for solving geometric structure and motion problems based on the L infin -norm …”
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    Unconditional L∞-convergence of two compact conservative finite difference schemes for the nonlinear Schrödinger equation in multi-dimensions von Wang, Tingchun, Zhao, Xiaofei

    ISSN: 0008-0624, 1126-5434
    Veröffentlicht: Cham Springer International Publishing 01.09.2018
    Veröffentlicht in Calcolo (01.09.2018)
    “… This paper is concerned with the unconditional and optimal L ∞ -error estimates of two fourth-order (in space …”
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    Fast Approximation of the $H_\infty$ Norm via Optimization over Spectral Value Sets von Guglielmi, Nicola, Gürbüzbalaban, Mert, Overton, Michael L.

    ISSN: 0895-4798, 1095-7162
    Veröffentlicht: Philadelphia Society for Industrial and Applied Mathematics 01.01.2013
    Veröffentlicht in SIAM journal on matrix analysis and applications (01.01.2013)
    “… The $H_\infty$ norm of a transfer matrix function for a control system is the reciprocal of the largest value of $\varepsilon …”
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    Simple Covariance Approach to Analysis von Gattami, Ather, Bamieh, Bassam

    ISSN: 0018-9286, 1558-2523
    Veröffentlicht: New York IEEE 01.03.2016
    Veröffentlicht in IEEE transactions on automatic control (01.03.2016)
    “… We revisit the classical H ∞ analysis problem of computing the 2 -induced norm and the L 2 -induced norm of a linear time-invariant system for the discrete time case and the continuous time case, respectively …”
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    Synthesis of Cooperative Adaptive Cruise Control With Feedforward Strategies von Zhu, Yuanheng, Zhao, Dongbin, He, Haibo

    ISSN: 0018-9545, 1939-9359
    Veröffentlicht: New York IEEE 01.04.2020
    Veröffentlicht in IEEE transactions on vehicular technology (01.04.2020)
    “… To relax computation, complete quadratic Lyapunov-Krasovskii functionals are adopted and the CACC controllers are solved by linear matrix inequality tools …”
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    LP-W- \ell -SVD Algorithm for Direction-of-Arrival Estimation von Liu, Fulai, Du, Ruiyan, Cheng, Yajian, Sun, Zhenxing

    ISSN: 1530-437X, 1558-1748
    Veröffentlicht: IEEE 15.01.2017
    Veröffentlicht in IEEE sensors journal (15.01.2017)
    “… ∞ -norm for a complex matrix. Making use of the new computation method of the ∞ -norm, the DOA estimation problem can be efficiently formulated as a linear programming (LP) problem …”
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