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In this paper, we propose and solve a low phase-rank approximation problem, which serves as a counterpart to the well-known low-rank approximation problem and the Schmidt-Mirsky theorem. More specifically, a nonzero complex number can be…

Rings and Algebras · Mathematics 2020-12-01 Di Zhao , Axel Ringh , Li Qiu , Sei Zhen Khong

In this paper, we discuss some limitations of the modified equations approach as a tool for stability analysis for a class of explicit linear schemes to scalar partial derivative equations. We show that the infinite series obtained by…

Numerical Analysis · Mathematics 2020-04-28 Firas Dhaouadi , Emilie Duval , Sergey Tkachenko , Jean-Paul Vila

This paper derives a novel pilot-aided phase and channel estimation algorithm for multiple-input multiple-output (MIMO) systems with phase noise and quasi-static channel fading. Our novel approach allows, for the first time, carrier phase…

Signal Processing · Electrical Eng. & Systems 2021-12-07 Yiming Li , Zhouyi Hu , Andrew Ellis

The increasing penetration of inverter based renewable generation (RG) in the form of solar photo-voltaic (PV) or wind has introduced numerous operational challenges and uncertainties. According to the standards, these generators are made…

Optimization and Control · Mathematics 2019-11-19 Chetan Mishra , James S. Thorp , Virgilio A. Centeno , Anamitra Pal

In this paper, a robust nonlinear control scheme is proposed for a nonlinear multi-input multi-output (MIMO) system subject to bounded time varying uncertainty which satisfies a certain integral quadratic constraint condition. The scheme…

Systems and Control · Computer Science 2016-08-14 Obaid Ur Rehman , Ian R. Petersen , Barış Fidan

We prove a small-gain theorem for interconnections of $n$ nonlinear heterogeneous input-to-state stable (ISS) control systems of a general nature, covering partial, delay and ordinary differential equations. Furthermore, for the same class…

Optimization and Control · Mathematics 2021-01-22 Andrii Mironchenko

We study whether optimal state-feedback laws for a family of heterogeneous Multiple-Input, Multiple-Output (MIMO) Linear Time-Invariant (LTI) systems can be captured by a single learned controller. We train one transformer policy on…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Turki Bin Mohaya , Maitham F. AL-Sunni , John M. Dolan , Peter Seiler

SISO passive systems with just one type of memory/storage element (either only inductive or only capacitative) are known to have real poles and zeros, and further, with the zeros interlacing poles (ZIP). Due to a variety of definitions of…

Systems and Control · Electrical Eng. & Systems 2020-07-28 Sandeep Kumar , Madhu N. Belur

This paper investigates a reconfigurable intelligent surface (RIS)-aided multi-user multiple-input multiple-output (MIMO) system by considering only the statistical channel state information (CSI) at the base station (BS). We aim to…

Information Theory · Computer Science 2021-12-23 Huan Zhang , Shaodan Ma , Zheng Shi , Xin Zhao , Guanghua Yang

Symbiotic control synergistically integrates fixed-gain control and adaptive learning architectures to mitigate system uncertainties more predictably than adaptive learning alone and without requiring prior knowledge of uncertainty bounds…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Emre Yildirim , Tansel Yucelen , John T. Hrynuk

The increasing integration of renewable energy sources into electrical grids necessitates a paradigm shift toward advanced control schemes that guarantee safe and stable operations with scalable properties. Accordingly, this paper…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Cornelia Skaga , Mahdieh S. Sadabadi , Gilbert Bergna-Diaz

This paper studies stabilization of linear time-invariant (LTI) systems when control actions can only be realized in finitely many directions where it is possible to actuate uniformly or logarithmically extended positive scaling factors in…

Optimization and Control · Mathematics 2026-01-19 Muhammad Zaki Almuzakki , Bayu Jayawardhana , Aneel Tanwani , Antonis I. Vakis

We investigate the achievable rate (AR) of a stacked intelligent metasurface (SIM)-aided holographic multiple-input multiple-output (HMIMO) system by jointly optimizing the SIM phase shifts and power allocation. Contrary to earlier studies…

Signal Processing · Electrical Eng. & Systems 2025-08-14 Eduard E. Bahingayi , Nemanja Stefan Perović , Le-Nam Tran

In this paper, we consider a fundamental problem in modern digital communications known as multi-input multi-output (MIMO) detection, which can be formulated as a complex quadratic programming problem subject to unit-modulus and discrete…

Optimization and Control · Mathematics 2018-12-27 Cheng Lu , Ya-Feng Liu , Wei-Qiang Zhang , Shuzhong Zhang

We study computational aspects of a key problem in robust statistics -- the penalized least trimmed squares (LTS) regression problem, a robust estimator that mitigates the influence of outliers in data by capping residuals with large…

Optimization and Control · Mathematics 2026-04-15 Xiang Meng , Andrés Gómez , Rahul Mazumder

We propose enhancements to score-based generative modeling techniques for low-latency pilot-based channel estimation in a point-to-point single-carrier multiple-input multiple-output (MIMO) wireless system. Building on recent advances in…

Signal Processing · Electrical Eng. & Systems 2025-09-10 Florian Strasser , Marion Bäro , Wolfgang Utschick

In this technical note, we study the mean square stability-based analysis of stochastic continuous-time linear networked systems. The stochastic uncertainty is assumed to enter multiplicatively in system dynamics through input and output…

Optimization and Control · Mathematics 2018-02-09 Sai Pushpak , Amit Diwadkar , Umesh Vaidya

Multiple-input multiple-output (MIMO) systems using Rydberg atomic (RA) receivers face significant scalability challenges in signal detection due to their nonlinear signal models. This letter proposes phase-rotated symbol spreading (PRSS),…

Information Theory · Computer Science 2026-01-27 Jiuyu Liu , Yi Ma , Rahim Tafazolli

Non-ideal oscillators both at the transmitter and the receiver introduces time varying phase noise which interacts with the transmitted data in a non-linear fashion. Phase noise becomes a detrimental problem and needs to be estimated and…

Information Theory · Computer Science 2012-10-24 Arif Onder Isikman , Hani Mehrpouyan , Alexandre Graell i Amat

It has been known for some time that proportional output feedback will stabilize MIMO, minimum-phase, linear time-invariant systems if the feedback gain is sufficiently large. High-gain adaptive controllers achieve stability by…

Optimization and Control · Mathematics 2009-01-27 Ian A. Gravagne , John M. Davis , Jeffrey J. DaCunha