Search Results - $L^{\infty}$-norm computation

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

“…This paper focuses on representing the $L^{\infty}$-norm of finite-dimensional linear time-invariant systems with parameter-dependent coefficients…”
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Large-Scale Computation of $\mathcal{L}_\infty$-Norms by a Greedy Subspace Method by Aliyev, Nicat, Benner, Peter, Mengi, Emre, Schwerdtner, Paul, Voigt, Matthias

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Norm Computation for Continuous-Time Descriptor Systems Using Structured Matrix Pencils by Benner, P., Sima, V., Voigt, M.

“…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 by Quadrat, Alban, Rouillier, Fabrice, Younes, Grace

“…This paper focuses on representing the \(L^{\infty}\)-norm of finite-dimensional linear time-invariant systems with parameter-dependent coefficients…”
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Large-Scale Computation of \({\mathcal L}_\infty\)-Norms by a Greedy Subspace Method by Aliyev, Nicat, Benner, Peter, Mengi, Emre, Schwerdtner, Paul, Voigt, Matthias

“…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 by Kwak, Dohyeok, Kim, Jung Hoon, Hagiwara, Tomomichi

“…) 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 by Benkhaldoun, Fayssal, Bradji, Abdallah

“…) 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 by Kim, Sung Guen

“…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 by Lamouchi, Rihab, Meslem, Nacim, Raïssi, Tarek

“… 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 by Li, Shuguang, Kravchenko, Oleg V., Qu, Kai

“… 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 ℓ∞/p$$ {\ell}_{\infty /p} $$‐gains for discrete‐time observer‐based event‐triggered systems by Park, Hae Yeon, Choi, Hyung Tae, Kim, Jung Hoon

“… 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 by Ali, Ihteram, Haq, Sirajul, Nisar, Kottakkaran Sooppy, Baleanu, Dumitru

“…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 by Damm, Tobias, Benner, Peter, Hauth, Jan

“…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 by Ebihara, Yoshio

“… 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 by Kahl, F., Hartley, R.

“…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 by Wang, Tingchun, Zhao, Xiaofei

“…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 by Guglielmi, Nicola, Gürbüzbalaban, Mert, Overton, Michael L.

“…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 by Gattami, Ather, Bamieh, Bassam

“…We revisit the classical H ∞ analysis problem of computing the ℓ 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 by Zhu, Yuanheng, Zhao, Dongbin, He, Haibo

“… 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 by Liu, Fulai, Du, Ruiyan, Cheng, Yajian, Sun, Zhenxing

“… ∞ -norm for a complex matrix. Making use of the new computation method of the ℓ ∞ -norm, the DOA estimation problem can be efficiently formulated as a linear programming (LP) problem…”
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