Zobrazeno 1 - 10
of 105
pro vyhledávání: '"Platte, Rodrigo"'
We examine nonlinear and adaptive linear control systems that model compressor-actuated dynamics of natural gas flow in pipeline networks. A model-predictive controller (MPC) is developed for feedback control of compressor actions in which the intern
Externí odkaz:
http://arxiv.org/abs/2305.06658
We formulate a control system model for the distributed flow of mixtures of highly heterogeneous gases through large-scale pipeline networks with time-varying injections of constituents, withdrawals, and control actions of compressors. This study is
Externí odkaz:
http://arxiv.org/abs/2210.06269
This article is written to serve as an introduction and survey of imaging with synthetic aperture radar (SAR). The reader will benefit from having some familiarity with harmonic analysis, electromagnetic radiation, and inverse problems. After an over
Externí odkaz:
http://arxiv.org/abs/1910.10236
The choice of the parameter value for regularized inverse problems is critical to the results and remains a topic of interest. This article explores a criterion for selecting a good parameter value by maximizing the probability of the data, {{with no
Externí odkaz:
http://arxiv.org/abs/1812.11449
Autor:
Sanders, Toby, Platte, Rodrigo B.
In the realm of signal and image denoising and reconstruction, $\ell_1$ regularization techniques have generated a great deal of attention with a multitude of variants. A key component for their success is that under certain assumptions, the solution
Externí odkaz:
http://arxiv.org/abs/1703.02404
We consider the problem of approximating an analytic function on a compact interval from its values at $M+1$ distinct points. When the points are equispaced, a recent result (the so-called impossibility theorem) has shown that the best possible conve
Externí odkaz:
http://arxiv.org/abs/1610.04769
Over the last decade or so, reconstruction methods using $\ell_1$ regularization, often categorized as compressed sensing (CS) algorithms, have significantly improved the capabilities of high fidelity imaging in electron tomography. The most popular
Externí odkaz:
http://arxiv.org/abs/1608.04822
Publikováno v:
In Applied Numerical Mathematics June 2020 152:29-48
We consider solutions $u$ to the 3d nonlinear Schr\"odinger equation $i\partial_t u + \Delta u + |u|^2u=0$. In particular, we are interested in finding criteria on the initial data $u_0$ that predict the asymptotic behavior of $u(t)$, e.g., whether $
Externí odkaz:
http://arxiv.org/abs/0911.3955
Publikováno v:
In Journal of Computational Physics 1 June 2017 338:357-370