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We present a fully discrete stability analysis of the domain-of-dependence stabilization for hyperbolic problems. The method aims to address issues caused by small cut cells by redistributing mass around the neighborhood of a small cut cell…

数值分析 · 数学 2026-05-07 Louis Petri , Gunnar Birke , Christian Engwer , Hendrik Ranocha

This note proposes a data-driven output-feedback stabilizing policy iteration for unknown linear discrete-time systems with unmeasurable states. Existing policy iteration methods for optimal control must start from a stabilizing control…

系统与控制 · 电气工程与系统科学 2025-12-01 Dongdong Li , Jiuxiang Dong

A novel numerical method for solving inverse scattering problem with fixed-energy data is proposed. The method contains a new important concept: the stability index of the inversion problem. This is a number, computed from the data, which…

数学物理 · 物理学 2007-05-23 S. Gutman , A. G. Ramm , W. Scheid

Dynamic response of loads has a significant effect on system stability and directly determines the stability margin of the operating point. Inherent uncertainty and natural variability of load models make the stability assessment especially…

系统与控制 · 计算机科学 2015-04-15 Hung D. Nguyen , Konstantin Turitsyn

We generalize a known analytical method for determining the stability of periodic orbits controlled by time-delay feedback methods when latencies associated with the generation and injection of the feedback signal cannot be ignored. We…

混沌动力学 · 物理学 2009-11-10 Philipp Hövel , Joshua E. S. Socolar

Declines in cost and concerns about the environmental impact of traditional generation have boosted the penetration of renewables and non-conventional distributed energy resources into the power grid. The intermittent availability of these…

系统与控制 · 电气工程与系统科学 2022-03-10 Priyank Srivastava , Patricia Hidalgo-Gonzalez , Jorge Cortes

This work primarily focuses on an operator inference methodology aimed at constructing low-dimensional dynamical models based on a priori hypotheses about their structure, often informed by established physics or expert insights. Stability…

机器学习 · 计算机科学 2024-03-04 Igor Pontes Duff , Pawan Goyal , Peter Benner

As the amount of volatile, renewable energy sources in power distribution grids is increasing, the stability of the latter is a vital aspect for grid operators. Within the STABEEL project, the authors develop rules on how to parametrize the…

系统与控制 · 电气工程与系统科学 2022-10-03 Sebastian Krahmer , Stefan Ecklebe , Peter Schegner , Klaus Röbenack

Controller synthesis, including reset controller, feedback controller, and switching logic controller, provides an essential mechanism to guarantee the correctness and reliability of hybrid systems in a correct-by-construction manner.…

系统与控制 · 电气工程与系统科学 2023-09-13 Jiang Liu , Han Su , Yunjun Bai , Bin Gu , Bai Xue , Mengfei Yang , Naijun Zhan

The stability analysis of elastic rings subjected to various loading conditions is examined, focusing on stable and unstable configurations. The harmonic balance method is employed to investigate the stability range under different loading…

经典物理 · 物理学 2025-08-26 Muhammad Sami Siddiqui

Stably inverting a dynamic system model is the foundation of numerous servo designs. Existing inversion techniques have provided accurate model approximations that are often highly effective in feedforward controls. However, when the…

系统与控制 · 计算机科学 2019-11-19 Dan Wang , Xu Chen

This paper presents a novel approach for robust periodic attitude control of satellites. Respecting the periodicity of the satellite dynamics in the synthesis allows to achieve constant performance and robustness requirements over the…

系统与控制 · 电气工程与系统科学 2025-07-21 Frederik Thiele , Felix Biertümpfel , Harald Pfifer

Stability and stabilization of linear port-Hamiltonian systems on infinite-dimensional spaces are investigated. This class is general enough to include models of beams and waves as well as transport and Schr\"odinger equations with boundary…

偏微分方程分析 · 数学 2016-04-26 Björn Augner , Birgit Jacob

Harmonic Balance is one of the most popular methods for computing periodic solutions of nonlinear dynamical systems. In this work, we address two of its major shortcomings: First, we investigate to what extent the computational burden of…

动力系统 · 数学 2023-03-30 Lukas Woiwode , Malte Krack

An algorithm for detecting unstable periodic orbits in chaotic systems [Phys. Rev. E, 60 (1999), pp. 6172-6175] which combines the set of stabilising transformations proposed by Schmelcher and Diakonos [Phys. Rev. Lett., 78 (1997), pp.…

混沌动力学 · 物理学 2007-06-14 Jonathan J. Crofts

Modern experiments in quantum metrology, sensing, and quantum computing require precise control of the state of atoms and molecules, achieved through the use of highly stable lasers and microwave generators with low phase noise. One of the…

A stability analysis is performed on high-order schemes formulated using the Flux Reconstruction (FR) approach. The one-dimensional advection model equation is used for the assessment of the stability region of these schemes when coupled…

流体动力学 · 物理学 2023-08-21 Frederico Bolsoni Oliveira , João Luiz F. Azevedo

The paper addresses the boundary control of a class of hyperbolic PDEs, based on an equivalent representation in terms of an integral-difference equation. The situation is considered where direct compensation of reflection terms induces a…

最优化与控制 · 数学 2026-03-24 Wim Michiels , Federico Bribiesca-Argomedo , Jean Auriol

Conventional power system optimization framework is becoming less reliable and efficient due to the stability issues brought by the ever-increasing inverter-interfaced renewable penetration. To ensure system stability during system…

系统与控制 · 电气工程与系统科学 2026-05-26 Zhongda Chu , Fei Teng

Stochastic resetting has shown promise in enhancing the stability of dynamical systems. Here, we apply this concept to theta neuron networks with partial resetting, where only a fraction of neurons is intermittently reset. We examine both…

动力系统 · 数学 2024-12-10 Na Zhao , Carlo R Laing , Jian Song , Shenquan Liu