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We study local (also referred to as small-signal) stability of a network of identical DC/AC converters having a rotating degree of freedom. We develop a stability theory for a class of partitioned linear systems with symmetries that has…

Optimization and Control · Mathematics 2020-11-12 Taouba Jouini , Florian Dörfler

This article addresses certification of closed-loop stability when a virtual-sensor based on a gated recurrent neural network operates in the feedback path of a nonlinear control system. The Hadamard gating used in standard GRU/LSTM cells…

Systems and Control · Electrical Eng. & Systems 2025-12-08 Eric Hilgert , Andreas Schwung

Impedance models are widely used in assessing small signal stability of grid-tied voltage source converter (VSC) systems. Recent research has proven that impedance models of grid-tied VSC in both dq and sequence domains are generally…

Systems and Control · Computer Science 2017-04-14 Chen Zhang , Xu Cai , Atle Rygg , Marta Molinas

For decades, power system stabilizers paired with high initial response automatic voltage regulators have served as an effective means of meeting sometimes conflicting system stability requirements. Driven primarily by increases in power…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Ryan T. Elliott , Payman Arabshahi , Daniel S. Kirschen

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

In this work, we study finite-time stability of switched and hybrid systems in the presence of unstable modes. We present sufficient conditions in terms of multiple Lyapunov functions for the origin of the system to be finite time stable.…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Kunal Garg , Dimitra Panagou

This paper proposes a novel transient stability assessment tool for networked microgrids based on neural Lyapunov methods. Assessing transient stability is formulated as a problem of estimating the dynamic security region of networked…

Systems and Control · Electrical Eng. & Systems 2020-12-03 Tong Huang , Sicun Gao , Le Xie

This paper introduces a novel Lyapunov-based small-gain methodology for establishing fixed-time stability (FxTS) guarantees in interconnected dynamical systems. Specifically, we consider interconnections in which each subsystem admits an…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Michael Tang , Miroslav Krstic , Jorge Poveda

The prediction of dynamical stability of power grids becomes more important and challenging with increasing shares of renewable energy sources due to their decentralized structure, reduced inertia and volatility. We investigate the…

In order to improve dynamic characteristics of the power system with high-proportion renewable energy sources (RESs), it is necessary for the voltage source converter (VSC), interfaces of RESs, to provide inertial and frequency regulation.…

Systems and Control · Electrical Eng. & Systems 2021-07-20 Huanhai Xin , Kehao Zhuang , Pengfei Hu , Yunjie Gu , Ping Ju

We study the synchronization and stability of power grids within the Kuramoto phase oscillator model with inertia with a bimodal frequency distribution representing the generators and the loads. We identify critical nodes through solitary…

Adaptation and Self-Organizing Systems · Physics 2019-12-18 Halgurd Taher , Simona Olmi , Eckehard Schöll

This technical note deals with the problem of asymptotically stabilizing the splay state configuration of a network of identical pulse coupled oscillators through the design of the their phase response function. The network of pulse coupled…

Systems and Control · Electrical Eng. & Systems 2021-04-14 Francesco Ferrante , Yongqiang Wang

Deploying synchronous condensers (SynCons) near grid-following renewable energy sources (GFLRs) is an effective and increasingly adopted strategy for grid support. However, the potential transient instability risks in such configurations…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Bingfang Li , Songhao Yang , Qinglan Wang , Xu Zhang , Huan Xie , Chuan Qin , Zhiguo Hao

The power synchronization control (PSC) has been increasingly used with voltage-source converters (VSCs) connected to the weak ac grid. This paper presents an in-depth analysis on the transient stability of the PSC-VSC by means of the phase…

Systems and Control · Computer Science 2018-10-30 Heng Wu , Xiongfei Wang

We show that global generalized synchronization (GS) exists in structurally different time-delay systems, even with different orders, with quite different fractal (Kaplan-Yorke) dimensions, which emerges via partial GS in symmetrically…

Chaotic Dynamics · Physics 2015-06-12 D. V. Senthilkumar , R. Suresh , M. Lakshmanan , J. Kurths

Gradient Clock Synchronization (GCS) is the task of minimizing the \emph{local skew,} i.e., the clock offset between neighboring clocks, in a larger network. While asymptotically optimal bounds are known, from a practical perspective they…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-13 Christoph Lenzen

In this paper, the problem of assessing the Finite-Time Stability (FTS) property for general nonlinear systems is considered. First, some necessary and sufficient conditions that guarantee the FTS of general nonlinear systems are provided;…

Optimization and Control · Mathematics 2023-03-02 Adriano Mele , Alfredo Pironti

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

As modern power systems continue to evolve into multi-agent, converter-dominated systems that demand reliable, stable, and optimal control architectures within an expandable framework, this paper investigates scalable stability guarantees…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Cornelia Skaga , Mahdieh S. Sadabadi , Gilbert Bergna-Diaz

We provide a Lyapunov-function-based method for establishing different types of uniform input-to-state stability (ISS) for time-varying impulsive systems. The method generalizes to impulsive systems with inputs the well-established…

Systems and Control · Computer Science 2020-08-14 Jose L. Mancilla-Aguilar , Hernan Haimovich