Results 31 to 40 of about 24,698,590 (380)
Balanced truncation of perturbative representations of nonlinear systems [PDF]
, 2007 The paper presents a novel approach for a balanced truncation style of model reduction of a perturbative representation of a nonlinear system. Empirical controllability and observability gramians for nonlinear systems are employed to define a projection ...
Condon, Marissa, Grahovski, Georgi G.
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Frontiers in Materials, 2022 Wind energy is a typical foreseeable renewable energy source. This study constructs and optimizes a variable cross-section cantilever-based piezoelectric energy harvester for low-speed wind energy harvesting.
Kaiyuan Zhao +4 more
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Effects of a nonlinear bath at low temperatures [PDF]
, 2004 We use the numerical flow-equation renormalization method to study a nonlinear bath at low temperatures. The model of our nonlinear bath consists of a single two-level system coupled to a linear oscillator bath.
Bruder, C., Gassmann, Hanno
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A Granular System of Ellipses under Linear Shear
EPJ Web of Conferences, 2017 Shear of granular systems of disks (in 2D) and spheres (3D) has been studied extensively. However, less is known about systems of non-spherical particles, i.e., ellipses and polygons, etc.
Wang Dong, Zheng Hu, Behringer Robert P.
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Mathematics, 2021 The direct strong-form collocation method with reproducing kernel approximation is introduced to efficiently and effectively solve the natural convection problem within a parallelogrammic enclosure.
Judy P. Yang, Yi-Shan Liao
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Journal of Inequalities and Applications, 2019 In this paper, multiple stability and instability of Cohen–Grossberg neural network with unbounded time-varying delays are studied. Based on the geometrical configuration of activation functions and some rigorous mathematical analysis, some algebraic ...
Yanheng Chen, Songfang Jia
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Comparisons between harmonic balance and nonlinear output frequency response function in nonlinear system analysis [PDF]
, 2008 By using the Duffing oscillator as a case study, this paper shows that the harmonic components in the nonlinear system response to a sinusoidal input calculated using the Nonlinear Output Frequency Response Functions (NOFRFs) are one of the solutions ...
Billings, S.A. +3 more
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Nonlinear elliptic systems [PDF]
Anais da Academia Brasileira de Ciências, 2000 From author's abstract: We treat the question of the existence of solutions of boundary value problems for systems of nonlinear elliptic equations of the form \[ -\Delta u=f(x,u,v,\nabla u,\nabla v),\;-\Delta v=g(x,u,v,\nabla u,\nabla v),\;\text{in} \Omega .
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A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem
Journal of Inequalities and Applications, 2018 In this paper, we investigate the spectral approximation of optimal control problem governed by nonlinear parabolic equations. A spectral approximation scheme for the nonlinear parabolic optimal control problem is presented. We construct a fully discrete
Lin Li +4 more
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Observability of nonlinear systems
Information and Control, 1973 The purpose of this paper is to investigate the problem of observability of nonlinear systems. Two sufficient conditions of global observability of nonlinear systems are presented: (1) the ratio condition which is the generalization of Fujisawa and Kuh's (1971) ratio condition of circuit theory, (2) the strongly positive semidefinite condition.
Shauying R. Kou +2 more
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