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The wide deployment of renewable generation and the gradual decrease in the overall system inertia make modern power grids more vulnerable to transient instabilities and unacceptable frequency fluctuations. Time-domain simulation-based…

Optimization and Control · Mathematics 2020-03-03 Dongchan Lee , Liviu Aolaritei , Thanh Long Vu , Konstantin Turitsyn

As bulk synchronous generators in the power grid are replaced by distributed generation interfaced through power electronics, inertia is removed from the system, prompting concerns over grid stability. Different metrics are available for…

Optimization and Control · Mathematics 2017-03-09 Mohammad Pirani , John W. Simpson-Porco , Baris Fidan

Randomly-assembled dynamical systems are theoretically predicted to be unstable upon crossing a critical threshold of complexity, as first shown by May. Yet, empirical complex systems exhibit remarkable stability, indicating the presence of…

Disordered Systems and Neural Networks · Physics 2026-03-31 Francesco Ferraro , Christian Grilletta , Amos Maritan , Samir Suweis , Sandro Azaele

Solving optimal control problems to determine a stabilizing controller involves a significant computational effort. Time-varying optimal control provides a remedy by designing a tracking system, given as an ordinary differential equation,…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Patrick Schmidt , Stefan Streif

Dynamic stability is imperative for the operation of the electric power system. This article provides analytical results and effective stability criteria focusing on the interplay of network structures and the local dynamics of synchronous…

Adaptation and Self-Organizing Systems · Physics 2024-06-19 Philipp C. Böttcher , Dirk Witthaut , Leonardo Rydin Gorjão

The power system, a fundamental public utility, is increasingly important due to growing global electricity demand. Recent large-scale blackouts (e.g., Iberian Peninsula, UK) have raised concerns about transient stability under impact…

Dynamical Systems · Mathematics 2026-05-19 Sixu Wu , Chenmin Zhang , Aiqing Zhu , Yang Liu , Jianxi Lin , Yifa Tang

As one of the fundamental modules in autonomous driving, online high-definition (HD) maps have attracted significant attention due to their cost-effectiveness and real-time capabilities. Since vehicles always cruise in highly dynamic…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Hao Shan , Ruikai Li , Han Jiang , Yizhe Fan , Ziyang Yan , Bohan Li , Xiaoshuai Hao , Hao Zhao , Zhiyong Cui , Yilong Ren , Haiyang Yu

This paper presents a novel adaptive control methodology for uncertain systems with time-varying unknown parameters and time-varying bounded disturbance. The adaptive controller ensures uniformly bounded transient and asymptotic tracking…

Optimization and Control · Mathematics 2007-05-23 Chengyu Cao , Naira Hovakimyan

This paper assesses the transient stability of a synchronous machine connected to an infinite bus through the notion of invariant sets. The problem of computing a conservative approximation of the maximal positive invariant set is…

Optimization and Control · Mathematics 2018-11-22 Antoine Oustry , Carmen Cardozo , Patrick Panciatici , Didier Henrion

Real-time tracking of inertia is important because it reflects the power system's ability to withstand contingencies and maintain frequency security. This paper proposes a practical approach to estimate inertia using ambient phasor…

Systems and Control · Electrical Eng. & Systems 2025-08-12 Anushka Sharma , Anamitra Pal , Rajasekhar Anguluri , Tamojit Chakraborty

We consider the noise-induced transitions in the randomly perturbed discrete logistic map from a linearly stable periodic orbit consisting of T periodic points. The traditional large deviation theory and asymptotic analysis for small noise…

Chaotic Dynamics · Physics 2016-04-20 Yu Cao , Ling Lin , Xiang Zhou

The problem of primary control of high-voltage direct current transmission systems is addressed in this paper, which contains four main contributions. First, to propose a new nonlinear, more realistic, model for the system suitable for…

Systems and Control · Computer Science 2017-03-21 Daniele Zonetti , Romeo Ortega , Johannes Schiffer

The availability of devices that track moving objects has led to an explosive growth in trajectory data. When exploring the resulting large trajectory collections, visual summaries are a useful tool to identify time intervals of interest. A…

Human-Computer Interaction · Computer Science 2021-07-13 Jules Wulms , Juri Buchmüller , Wouter Meulemans , Kevin Verbeek , Bettina Speckmann

Many studies simulates the machining process by using a single degree of freedom spring-mass sytem to model the tool stiffness, or the workpiece stiffness, or the unit tool-workpiece stiffness in modelings 2D. Others impose the tool action,…

Computational Engineering, Finance, and Science · Computer Science 2009-08-19 Claudiu-Florinel Bisu , Jean-Yves K'Nevez , Philippe Darnis , Raynald Laheurte , Alain Gérard

Whereas the importance of transient dynamics to the functionality and management of complex systems has been increasingly recognized, most of the studies are based on models. Yet in realistic situations the models are often unknown and what…

Adaptation and Self-Organizing Systems · Physics 2021-10-25 Huawei Fan , Liang Wang , Yao Du , Yafeng Wang , Jinghua Xiao , Xingang Wang

Keeping the power system stable is becoming more challenging with the growing share of renewable energy sources of low or negligible inertia. Inertia constants for individual power plants are generally not known and are roughly estimated by…

Systems and Control · Electrical Eng. & Systems 2022-10-10 David Kraljic , Blaz Sobocan , Jernej Katanec , Matej Logar , Miha Troha

Linear systems governed by continuous-time difference equations cover a wide class of linear systems. From the Lyapunov-Krasovskii approach, we investigate stability for such a class of systems. Sufficient conditions, and in some particular…

Optimization and Control · Mathematics 2013-12-30 S. Damak , M. Di Loreto , W. Lombardi , V Andrieu

The finite-time control problem of quantum systems is investigated in this paper. We first define finite-time stability and present a finite-time Lyapunov stability criterion for finite-dimensional quantum systems in coherence vector…

Quantum Physics · Physics 2020-05-27 Sen Kuang , Xiaoke Guan , Daoyi Dong

We provide conditions under which trajectory outcomes in mechanical systems subject to unilateral constraints depend piecewise-differentiably on initial conditions, even as the sequence of constraint activations and deactivations varies.…

Optimization and Control · Mathematics 2016-10-19 Andrew M. Pace , Samuel A. Burden

This paper considers the equilibrium-free stability and performance analysis of discrete-time nonlinear systems. We consider two types of equilibrium-free notions. Namely, the universal shifted concept, which considers stability and…

Systems and Control · Electrical Eng. & Systems 2024-02-16 Patrick J. W. Koelewijn , Siep Weiland , Roland Tóth