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It is known that state-dependent, multi-step Lyapunov bounds lead to greatly simplified verification theorems for stability for large classes of Markov chain models. This is one component of the "fluid model" approach to stability of…

最优化与控制 · 数学 2012-05-18 Serdar Yüksel , Sean P. Meyn

The threshold, or saturation phenomenon of spatially coupled systems is revisited in the light of Lyapunov's theory of dynamical systems. It is shown that an application of Lyapunov's direct method can be used to quantitatively describe the…

信息论 · 计算机科学 2013-06-18 Christian Schlegel , Marat Burnashev

This paper proposes a generalized passivity sensitivity analysis for power system stability studies. The method uncovers the most effective instability mitigation actions for both device-level and system-level investigations. The particular…

系统与控制 · 电气工程与系统科学 2025-04-11 Dongyeong Lee , Francisco Javier Cifuentes Garcia , Jef Beerten

Graph Neural Networks (GNNs) are highly vulnerable to adversarial perturbations in both topology and features, making the learning of robust representations a critical challenge. In this work, we bridge GNNs with control theory to introduce…

机器学习 · 计算机科学 2026-03-16 Haoyu Chu , Xiaotong Chen , Wei Zhou , Wenjun Cui , Kai Zhao , Shikui Wei , Qiyu Kang

A fast multigrid solver is presented for high-order accurate Stokes problems discretised by local discontinuous Galerkin (LDG) methods. The multigrid algorithm consists of a simple V-cycle, using an element-wise block Gauss-Seidel smoother.…

数值分析 · 数学 2020-11-25 Robert Saye

In this paper virtual synchronous generation (VSG) approach is investigated in application to low- and zero-inertia grids operated by grid-forming (GFM) inverters. The key idea here is to introduce dynamic inertia and damping constants in…

系统与控制 · 电气工程与系统科学 2024-11-07 Oleg O. Khamisov , Stepan P. Vasilev

In this paper, we present a novel approach to determine the stability of switched linear and nonlinear systems using Sum of Squares optimisation. Particularly, we use Sum of Squares optimisation to search for a Lyapunov function that…

动力系统 · 数学 2023-06-26 Jacopo Piccini , Elias August , Sigurdur Hafstein , Stefania Andersen

In this note we identify a class of underactuated mechanical systems whose desired constant equilibrium position can be globally stabilised with the ubiquitous PID controller. The class is characterised via some easily verifiable conditions…

动力系统 · 数学 2016-10-25 Jose Guadalupe Romero , Alejandro Donaire , Romeo Ortega

The increasing share of converter based resources in power systems calls for scalable methods to analyse stability without relying on exhaustive system wide simulations. Decentralized small gain and small-phase criteria have recently been…

系统与控制 · 电气工程与系统科学 2026-04-15 Diego Cifelli , Adolfo Anta

There has been significant increase in penetration of renewable generation (RG) sources all over the world. Localized concentration of many such generators could initiate a cascade tripping sequence that might threaten the stability of the…

系统与控制 · 计算机科学 2019-11-19 Chetan Mishra , James S. Thorp , Anamitra Pal , Virgilio A. Centeno

This paper presents a decentralized frequency-domain framework to characterize the influence of the operating point on the small-signal stability of converter-dominated power systems. The approach builds on Scaled Relative Graph (SRG)…

系统与控制 · 电气工程与系统科学 2026-03-17 Eder Baron-Prada , Adolfo Anta , Florian Dörfler

Self-triggered control (STC) is a resource efficient approach to determine sampling instants for Networked Control Systems (NCS). Recently, a dynamic STC strategy based on hybrid Lyapunov functions for nonlinear NCS has been proposed in…

系统与控制 · 电气工程与系统科学 2022-05-18 Michael Hertneck , Frank Allgöwer

This paper investigates power swing characteristics of grid-forming voltage source converter (GFM-VSC) systems considering the current limitation mode in both non-inertial and inertial GFM-VSC systems. Following grid faults, non-inertial…

系统与控制 · 电气工程与系统科学 2025-04-17 Yongxin Xiong , Heng Wu , Yifei Li , Xiongfei Wang

In a power grid with growing penetrations of renewable energy sources, inverters play a larger role in the dynamic interactions among network components. However, much is yet to be studied regarding inverter-dominated grid stability. This…

系统与控制 · 电气工程与系统科学 2023-11-22 Ruth Kravis , Gabriel Colon-Reyes , Duncan Callaway

Many systems, arising in electrical and electronic engineering are based on controlled phase synchronization of several periodic processes ("phase synchronization" systems, or PSS). Typically such systems are featured by the gradient-like…

系统与控制 · 计算机科学 2014-11-18 Vera Smirnova , Anton V. Proskurnikov , Natalia V. Utina

Finite-time stability of networked control systems under Denial of Service (DoS) attacks are investigated in this paper, where the communication between the plant and the controller is compromised at some time intervals. Toward this goal,…

系统与控制 · 电气工程与系统科学 2021-04-07 Mohammadreza Doostmohammadian , Nader Meskin

In Part I of this paper a method for the Harmonic Stability Assessment (HSA) of power systems with a high share of Converter-Interfaced Distributed Energy Resources (CIDERs) was proposed. Specifically, the Harmonic State-Space (HSS) model…

系统与控制 · 电气工程与系统科学 2024-08-13 Johanna Kristin Maria Becker , Andreas Martin Kettner , Mario Paolone

Hyperexponential stability is investigated for dynamical systems with the use of both, explicit and implicit, Lyapunov function methods. A nonlinear hyperexponential control is designed for stabilizing linear systems. The tuning procedure…

系统与控制 · 电气工程与系统科学 2022-07-19 Konstantin Zimenko , Denis Efimov , Andrey Polyakov

Modern power systems increasingly demand converter-driven generation systems that integrate seamlessly with grid infrastructure. Grid-based converters are particularly advantageous, as they operate in harmony with conventional synchronous…

系统与控制 · 电气工程与系统科学 2024-09-19 Somayeh Mehri Boroojeni , Ehsan Sharafoddin

Linear parameter-varying (LPV) systems with uncertainty in time-varying delays are subject to performance degradation and instability. In this line, we investigate the stability of such systems invoking an input-output stability approach.…

系统与控制 · 电气工程与系统科学 2020-04-10 Shahin Tasoujian , Saeed Salavati , Karolos Grigoriadis , Matthew Franchek
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