Results 11 to 20 of about 24,075,940 (324)
Discovering governing equations from data by sparse identification of nonlinear dynamical systems [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2015 Significance Understanding dynamic constraints and balances in nature has facilitated rapid development of knowledge and enabled technology, including aircraft, combustion engines, satellites, and electrical power. This work develops a novel framework to
S. Brunton, J. Proctor, J. Kutz
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AIMS Mathematics, 2023 In this paper, we study the finite volume element method of bilinear parabolic optimal control problem. We will use the optimize-then-discretize approach to obtain the semi-discrete finite volume element scheme for the optimal control problem. Under some
Zuliang Lu +3 more
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Superconvergence for optimal control problems governed by semilinear parabolic equations
AIMS Mathematics, 2022 In this paper, we first investigate optimal control problem for semilinear parabolic and introduce the standard $ L^2(\Omega) $-orthogonal projection and the elliptic projection.
Chunjuan Hou +4 more
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Error estimates of variational discretization for semilinear parabolic optimal control problems
AIMS Mathematics, 2021 In this paper, variational discretization directed against the optimal control problem governed by nonlinear parabolic equations with control constraints is studied.
Chunjuan Hou +3 more
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Dynamic Design of a Quad-Stable Piezoelectric Energy Harvester via Bifurcation Theory
Sensors, 2022 The parameter tuning of a multi-stable energy harvester is crucial to enhancing harvesting efficiency. In this paper, the bifurcation theory is applied to quantitatively reveal the effects of structural parameters on the statics and dynamics of a quad ...
Qichang Zhang +4 more
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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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Model Reference Gaussian Process Regression: Data-Driven State Feedback Controller
IEEE Access, 2023 This paper proposes a data-driven state feedback controller that enables reference tracking for nonlinear discrete-time systems. The controller is designed based on the identified inverse model of the system and a given reference model, assuming that the
Hyuntae Kim, Hamin Chang
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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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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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Fixed-Point Control of Airships Based on a Characteristic Model: A Data-Driven Approach
Mathematics, 2023 Factors such as changes in the external atmospheric environment, volatility in the external radiation, convective heat transfer, and radiation between the internal surfaces of the airship skin will cause a series of changes in the motion model of an ...
Yanlin Chen +3 more
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