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Linear-Quadratic Mean Field Control: The Hamiltonian Matrix and Invariant Subspace Method [PDF]
2018 IEEE Conference on Decision and Control (CDC), 2018 This paper studies the existence and uniqueness of a solution to linear quadratic (LQ) mean field social optimization problems with uniform agents. We exploit a Hamiltonian matrix structure of the associated ordinary differential equation (ODE) system and apply a subspace decomposition method to find the solution.
Chen, Xiang, Huang, Minyi
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Modeling of Multivalent Ligand-Receptor Binding Measured by kinITC
Computation, 2019 In addition to the conventional Isothermal Titration Calorimetry (ITC), kinetic ITC (kinITC) not only gains thermodynamic information, but also kinetic data from a biochemical binding process.
Franziska Erlekam +4 more
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DOA Estimation for Sources with Large Power Differences
International Journal of Antennas and Propagation, 2021 Sources with large power differences are very common, especially in complex electromagnetic environments. Classical DOA estimation methods suffer from performance degradation in terms of resolution when dealing with sources that have large power ...
Qingyuan Fang +3 more
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Invariant Subspace Method and Fractional Modified Kuramoto-Sivashinsky Equation
, 2015 In this paper, the invariant subspace method is applied to the time fractional modified Kuramoto-Sivashinsky partial differential equation. The obtained reduced system of nonlinear ordinary fractional equations is solved by the Laplace transform method and with using of some useful properties of Mittag-Leffler function.
Ouhadan, A., Kinani, E. H. El
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On polynomial solutions of differential equations
, 1992 A general method of obtaining linear differential equations having polynomial solutions is proposed. The method is based on an equivalence of the spectral problem for an element of the universal enveloping algebra of some Lie algebra in the ...
Turbiner, A.
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Basic principles and aims of model order reduction in compliant mechanisms [PDF]
Mechanical Sciences, 2011 Model order reduction appears to be beneficial for the synthesis and simulation of compliant mechanisms due to computational costs. Model order reduction is an established method in many technical fields for the approximation of large-scale linear time ...
M. Rösner, R. Lammering
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Automated Computation of Autonomous Spectral Submanifolds for Nonlinear Modal Analysis
, 2018 We discuss an automated computational methodology for computing two-dimensional spectral submanifolds (SSMs) in autonomous nonlinear mechanical systems of arbitrary degrees of freedom.
Haller, George +2 more
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Remote Sensing, 2023 The detection performance of active sonar is often hindered by the presence of seabed reverberation in shallow water. Separating the reverberations from the target echo and noise in the received signal is a crucial challenge in the field of underwater ...
Jie Pang, Bo Gao
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Ibn AL- Haitham Journal For Pure and Applied Sciences, 2020 In this paper, several types of space-time fractional partial differential equations has been solved by using most of special double linear integral transform ”double Sumudu ”. Also, we are going to argue the truth of these solutions by another analytically method “invariant subspace method”.
Hasan Shather Kadhem, Sameer Qasim Hasan
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The Chiral Space of Local Operators in SU(2)-Invariant Thirring Model
, 2003 The space of local operators in the SU(2) invariant Thirring model (SU(2) ITM) is studied by the form factor bootstrap method. By constructing sets of form factors explicitly we define a susbspace of operators which has the same character as the level ...
Nakayashiki, Atsushi
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