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We propose two new alternating direction methods to solve "fully" nonsmooth constrained convex problems. Our algorithms have the best known worst-case iteration-complexity guarantee under mild assumptions for both the objective residual and…

Optimization and Control · Mathematics 2018-01-16 Quoc Tran-Dinh , Volkan Cevher

This paper describes the detailed analysis for the design of a linear generator developed for a Surface Riding Wave Energy Converter (SR-WEC), which was designed to improve energy capture over a wider range of sea states. The study starts…

Systems and Control · Electrical Eng. & Systems 2021-08-20 Farid Naghavi , Shrikesh Sheshaprasad , Matthew Gardner , Aghamarshana Meduri , HeonYong Kang , Hamid Toliyat

A modulated model predictive controller is designed for an inductor-less modular multilevel converter targeting an MVDC solid-state transformer application. The underlying optimization problem is formulated such that a unique closed-form…

Optimization and Control · Mathematics 2021-03-26 Sandro Martin , Hui Li , Olugbenga Moses Anubi

In this paper, we design constant modulus probing waveforms with good correlation properties for collocated multi-input multi-output (MIMO) radar systems. The main content is as follows: first, we formulate the design problem as a fourth…

Signal Processing · Electrical Eng. & Systems 2019-09-04 Jiangtao Wang , Yongchao Wang

Waveform relaxation (WR) methods are based on partitioning large circuits into sub-circuits which then are solved separately for multiple time steps in so-called time windows, and an iteration is used to converge to the global circuit…

Numerical Analysis · Mathematics 2020-01-15 Martin J. Gander , Pratik M. Kumbhar , Albert E. Ruehli

Full-waveform inversion problems are usually formulated as optimization problems, where the forward-wave propagation operator $f$ maps the subsurface velocity structures to seismic signals. The existing computational methods for solving…

Signal Processing · Electrical Eng. & Systems 2020-01-07 Yue Wu , Youzuo Lin

Modern power systems present low levels of inertia due to the growing shares of converter-interfaced generation. Consequently, renewable energy sources are increasingly requested to provide frequency support. In addition, due to the inertia…

Systems and Control · Electrical Eng. & Systems 2021-08-23 Joakim Björk , Daniel Vázquez Pombo , Karl Henrik Johansson

This paper explores a limit avoidance approach in the case of input (modulation) and output (current) constraints with the aim of enhancing system availability of AC drives. Drawing on the observation that, in a certain range of reactive…

Systems and Control · Electrical Eng. & Systems 2025-11-06 Sanjay Chandrasekaran , Catalin Arghir , Pieder Joerg , Florian Doerfler , Silvia Mastellone

The present paper studies a kind of robust optimization problems with constraint. The problem is formulated through Backward Stochastic Differential Equations (BSDEs) with quadratic generators. A necessary condition is established for the…

Optimization and Control · Mathematics 2024-02-14 Peng Luo , Alexander Schied , Xiaole Xue

In this letter, we study the robust beamforming problem for the multi-antenna wireless broadcasting system with simultaneous information and power transmission, under the assumption of imperfect channel state information (CSI) at the…

Information Theory · Computer Science 2012-10-23 Zhengzheng Xiang , Meixia Tao

A stochastic wavevector approach is formulated to accurately represent compressible turbulence subject to rapid deformations. This approach is inspired by the incompressible particle representation model of Kassinos (1995) and preserves the…

Fluid Dynamics · Physics 2025-01-30 Noah Zambrano , Karthik Duraisamy

In this paper, we study a multi-sine multiple-input multiple-output (MIMO) wireless power transfer (WPT) system with the objective to increase the output DC power. We jointly optimize the multi-sine waveform and beamforming accounting for…

Signal Processing · Electrical Eng. & Systems 2021-08-24 Shanpu Shen , Bruno Clerckx

A generic formulation for the optimal control of a single wave-energy converter (WEC) is proposed. The formulation involves hard and soft constraints on the motion of the WEC to promote reduced damage and fatigue to the device during…

Optimization and Control · Mathematics 2020-12-16 Mertcan Yetkin , Sudharsan Kalidoss , Frank E. Curtis , Lawrence V. Snyder , Arindam Banerjee

In this paper, we consider optimal low-rank regularized inverse matrix approximations and their applications to inverse problems. We give an explicit solution to a generalized rank-constrained regularized inverse approximation problem,…

Numerical Analysis · Mathematics 2016-03-21 Julianne Chung , Matthias Chung

Here, we propose a novel method for representation of general spin systems using Restricted Boltzmann Machine with Softmax Regression (SRBM) that follows the probability distribution of the training data. SRBM training is performed using…

Disordered Systems and Neural Networks · Physics 2023-04-25 Abhiroop Lahiri , Shazia Janwari , Swapan K Pati

This chapter provides an introduction to the modeling and control of power generation from wind turbine systems. In modeling, the focus is on the electrical components: electrical machine (e.g. permanent-magnet synchronous generators),…

Systems and Control · Computer Science 2017-03-28 Christian Dirscherl , Christoph M. Hackl , Korbinian Schechner

Transmission-constrained problems in power systems can be cast as polynomial optimization problems whose coefficients vary over time. We consider the complications therein and suggest several approaches. On the example of the…

Optimization and Control · Mathematics 2023-09-25 Jie Liu , Antonio Bellon , Andrea Simonetto , Martin Takac , Jakub Marecek

We investigate the variational formulation and corresponding minimizing energies for the detection of energetically favorable magnetization states of thin cylindrical magnetic nanodots. Opposed to frequently used heuristic procedures found…

Mesoscale and Nanoscale Physics · Physics 2023-11-09 Alexander Müller , Manfred Bischoff , Marc-André Keip

In this work, a new constrained hybrid variational deblurring model is developed by combining the non-convex first- and second-order total variation regularizers. Moreover, a box constraint is imposed on the proposed model to guarantee high…

Computer Vision and Pattern Recognition · Computer Science 2013-10-03 Ryan Wen Liu , Tian Xu

In this work we deal with the shape optimization of an electric machine considering time-dependent effects such as eddy currents. The considered electric machine is an interior permanent magnet synchronous machine and we minimize the…

Optimization and Control · Mathematics 2025-11-11 Alessio Cesarano , Peter Gangl