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This paper studies the stability and $\mathcal{H}_{\infty}$ performance analysis problem for linear networked and quantized control systems with both communication delays random packet losses. To deal with the network-induced uncertainties…

Systems and Control · Electrical Eng. & Systems 2021-03-05 Wei Ren , Junlin Xiong

We discuss the stability theory and numerical analysis of the Helmholtz equation with variable and possibly non-smooth or oscillatory coefficients. Using the unique continuation principle and the Fredholm alternative, we first give an…

Numerical Analysis · Mathematics 2019-04-18 I. G. Graham , S. A. Sauter

This paper conducts sensitivity analysis of random constraint and variational systems related to stochastic optimization and variational inequalities. We establish efficient conditions for well-posedness, in the sense of robust Lipschitzian…

Optimization and Control · Mathematics 2021-12-13 Boris S. Mordukhovich , Pedro Pérez-Aros

In the last decades, various events have shown that electromechanical oscillations are a major concern for large interconnected Alternating Current (AC) power systems. Segmentation of AC power systems with High Voltage Direct Current (HVDC)…

Robust stability and stochastic stability have separately seen intense study in control theory for many decades. In this work we establish relations between these properties for discrete-time systems and employ them for robust control…

Dynamical Systems · Mathematics 2020-04-20 Benjamin Gravell , Peyman Mohajerin Esfahani , Tyler Summers

Semiconductor $p^+ - p^- - n - p^+ - n^{++}$ structures with large junction and contact areas are treated as 1 \times 2-dimensional active media, in which self-organized pattern formation can be expected. The local bistable behavior of the…

patt-sol · Physics 2009-10-31 A. V. Gorbatyuk , F. -J. Niedernostheide

This paper demonstrates the concept of probabilistic stability assessment on large-signal stability in the use case of short circuits in an active distribution grid. Here, the concept of survivability is applied, which extends classical…

Systems and Control · Electrical Eng. & Systems 2021-06-18 Sebastian Liemann , Lia Strenge , Paul Schultz , Holm Hinners , Johannis Porst , Marcel Sarstedt , Frank Hellmann

The interest in Physical Human-Robot Interaction (pHRI) has significantly increased over the last two decades thanks to the availability of collaborative robots that guarantee user safety during force exchanges. For this reason, stability…

Robotics · Computer Science 2025-12-02 Davide Tebaldi , Dario Onfiani , Luigi Biagiotti

The significant electrical distance between wind power collection points and the main grid poses challenges for weak grid-connected wind power systems. A new type of voltage oscillation phenomenon induced by repeated low voltage…

Systems and Control · Electrical Eng. & Systems 2024-05-09 Qiping Lai , Chen Shen , Dongsheng Li

Massive integration of power electronic devices with multiple control schemes in a wide frequency range pose new challenges regarding systems stability and reliability. Interactions between the fast control loops or between the fast control…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Georgia Saridaki , Alexandros G. Paspatis , Panos Kotsampopoulos , Nikos Hatziargyriou

We introduce Harmonic Robustness, a powerful and intuitive method to test the robustness of any machine-learning model either during training or in black-box real-time inference monitoring without ground-truth labels. It is based on…

Machine Learning · Computer Science 2024-04-30 Nicholas S. Kersting , Yi Li , Aman Mohanty , Oyindamola Obisesan , Raphael Okochu

A new method for stability assessment of inverter-based microgrids is presented in this paper. It leverages the notion of critical clusters -- a localized group of inverters with parameters having the highest impact on the system stability.…

Systems and Control · Electrical Eng. & Systems 2020-07-21 Andrey Gorbunov , Petr Vorobev , Jimmy Chih-Hsien Peng

Impedance is an intuitive and efficient way for dynamic representation of power electronics devices. One of the evident strengths, when compared to other small-signal methods, is the natural association with circuit theory. This makes them…

Systems and Control · Computer Science 2018-11-16 Chen Zhang , Marta Molinas , Atle Rygg , Xu Cai

We present a novel geometric approach for determining the unique structure of a Hamiltonian and establishing an instability criterion for quantum quadratic systems. Our geometric criterion provides insights into the underlying geometric…

Quantum Physics · Physics 2023-05-31 Xuanloc Leu , Xuan-Hoai Thi Nguyen , Jinhyoung Lee

Electricity systems are experiencing increased effects of randomness and variability due to emerging stochastic assets. The increased effects introduce new uncertainties into power systems that can impact system operability and reliability.…

Systems and Control · Electrical Eng. & Systems 2022-11-10 Naeem Turner-Bandele , Amritanshu Pandey , Larry Pileggi

Considerable efforts have been made to analyze the small-signal stability of doubly fed induction generator (DFIG) systems. However, commercial confidentiality and frequency coupling make the DFIG system a grey-box…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Tao Zhang , Zhiguo Hao , Songhao Yang , Hongyue Ma , Baohui Zhang

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

HVDC networks offer several advantages over traditional HVAC systems, particularly for long-distance power transmission and integration of renewable energy sources, such as reduced losses and enhanced stability and control, but also…

Systems and Control · Electrical Eng. & Systems 2025-11-13 Iva Radecic , Bozidar Filipovic-Grcic , Paul Akiki , Alain Xemard , Bruno Jurisic

We consider the problem of quantifying and assessing the steady-state voltage stability in radial distribution networks. Our approach to the voltage stability problem is based on a local, approximate, and yet highly accurate…

Optimization and Control · Mathematics 2019-07-05 Liviu Aolaritei , Saverio Bolognani , Florian Dörfler

To fully learn the latent temporal dependencies from post-disturbance system dynamic trajectories, deep learning is utilized for short-term voltage stability (STVS) assessment of power systems in this paper. First of all, a semi-supervised…

Signal Processing · Electrical Eng. & Systems 2021-02-25 Meng Zhang , Jiazheng Li , Yang Li , Runnan Xu
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