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Security and stability challenges in future power systems with high penetration Inverter-Based Resources (IBR) have been anticipated as one of the main barriers to decarbonization. Grid-following IBRs may become unstable under small…

Systems and Control · Electrical Eng. & Systems 2024-10-11 Zhongda Chu , Fei Teng

We study a two-state quantum system with a non linearity intended to describe interactions with a complex environment, arising through a non local coupling term. We study the stability of particular solutions, obtained as constrained…

Analysis of PDEs · Mathematics 2023-11-30 Thierry Goudon , Simona Rota Nodari

This paper proposes a compressed sensing (CS) framework for the acquisition and reconstruction of frequency-sparse signals with chaotic dynamical systems. The sparse signal is acting as an excitation term of a discrete-time chaotic system…

Information Theory · Computer Science 2016-12-21 Zhong Liu , Shengyao Chen , Feng Xi

This paper is concerned with the problem of distributed estimation for time-varying interconnected dynamic systems with arbitrary coupling structures. To guarantee the robustness of the designed estimators, novel distributed stability…

Systems and Control · Electrical Eng. & Systems 2022-06-02 Yuchen Zhang , Bo Chen , Li Yu , Daniel W. C. Ho

Developing stable controllers for large-scale networked dynamical systems is crucial but has long been challenging due to two key obstacles: certifiability and scalability. In this paper, we present a general framework to solve these…

Systems and Control · Electrical Eng. & Systems 2023-04-13 Songyuan Zhang , Yumeng Xiu , Guannan Qu , Chuchu Fan

A method to quantify robust performance for situations where structured parameter variations and initial state errors rather than extraneous disturbances are the main performance limiting factors is presented. The approach is based on the…

This paper proposes a new approach to perform small-signal stability analysis based on linearization of implicit multilinear models. Multilinear models describe the system dynamics by multilinear functions of state, input, and algebraic…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Christoph Kaufmann , Georg Pangalos , Gerwald Lichtenberg , Oriol Gomis-Bellmunt

State estimation plays a key role in the transition from the passive to the active operation of distribution systems, as it allows to monitor these networks and, successively, to perform control actions. However, designing state estimators…

Systems and Control · Electrical Eng. & Systems 2020-11-25 Marta Vanin , Tom Van Acker , Reinhilde D'hulst , Dirk Van Hertem

The robust stability problem involves designing a controlled system which remains stable in the presence of modeling uncertainty. In this context, results known as small gain theorems are used to quantify the maximum amount of uncertainty…

Optimization and Control · Mathematics 2026-04-01 Gavin Glenn , Emma J. Reid

The dynamics of the nuclear-spin quantum computer with large number (L=1000) of qubits is considered using a perturbation approach, based on approximate diagonalization of exponentially large sparse matrices. Small parameters are introduced…

Quantum Physics · Physics 2007-05-23 G. P. Berman , D. I. Kamenev , V. I. Tsifrinovich

Modern power networks face increasing vulnerability to cascading failures due to high complexity and the growing penetration of intermittent resources, necessitating rigorous security assessment beyond the conventional $N-1$ criterion.…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Alexandre Gracia-Calvo , Francesca Rossi , Eduardo Iraola , Juan Carlos Olives-Camps , Eduardo Prieto-Araujo

The small-signal stability of multi-terminal HVDC systems, which is related to the dynamic interactions among different VSCs through the coupling of DC and AC networks, has become one of the important issues for the safety and stable…

Systems and Control · Electrical Eng. & Systems 2023-01-02 Wanning Zheng , Li Chai

Discrete stability extends the classical notion of stability to random elements in discrete spaces by defining a scaling operation in a randomised way: an integer is transformed into the corresponding binomial distribution. Similarly…

Probability · Mathematics 2011-08-10 Youri Davydov , Ilya Molchanov , Sergei Zuyev

The paper tackles the issue of $\textit{checking}$ that all copies of a large data set replicated at several nodes of a network are identical. The fact that the replicas may be located at distant nodes prevents the system from verifying…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-05 Pierre Fraigniaud , François Le Gall , Harumichi Nishimura , Ami Paz

Eigenvalue analysis is a well-established tool for stability analysis of dynamical systems. However, there are situations where eigenvalues miss some important features of physical models. For example, in models of incompressible fluid…

Numerical Analysis · Mathematics 2017-10-23 Howard C. Elman , David J. Silvester

Stability certification and identifying a safe and stabilizing initial set are two important concerns in ensuring operational safety, stability, and robustness of dynamical systems. With the advent of machine-learning tools, these issues…

Machine Learning · Computer Science 2022-09-01 Soumyabrata Talukder , Ratnesh Kumar

This paper presents an algorithm for checking and enforcing passivity of behavioral reduced-order macromodels of LTI systems, whose frequency-domain (scattering) responses depend on external parameters. Such models, which are typically…

Computational Engineering, Finance, and Science · Computer Science 2020-11-06 Stefano Grivet-Talocia

In this paper, we present a novel approach to identify the generators and states responsible for the small-signal stability of power networks. To this end, the newly developed notion of information transfer between the states of a dynamical…

Systems and Control · Computer Science 2018-09-21 Subhrajit Sinha , Pranav Sharma , Umesh Vaidya , Venkataramana Ajjarapu

As the number of converter-based renewable generations in the power system is increasing, the inertia provided by the synchronous generators is reducing, which in turn is reducing the stability margins of the power system. In order to…

Systems and Control · Electrical Eng. & Systems 2023-06-12 Sujay Ghosh , Mohammad Kazem Bakhshizadeh , Łukasz Kocewiak , Guangya Yang

Many natural and man-made network systems need to maintain certain patterns, such as working at equilibria or limit cycles, to function properly. Thus, the ability to stabilize such patterns is crucial. Most of the existing studies on…

Optimization and Control · Mathematics 2025-09-30 Alberto Maria Nobili , Yuzhen Qin , Carlo Alberto Avizzano , Danielle S. Bassett , Fabio Pasqualetti