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The operating point of a power system may change due to slow enough variations of the power injections. Rotating machines in the bulk system can absorb smooth changes in the dynamic states of the system. In this context, we present a novel…

Optimization and Control · Mathematics 2024-01-22 Gabriel Intriago , Holger Cevallos , Yu Zhang

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…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Zhongda Chu , Fei Teng

We present the notion of stateful priorities for imposing precise restrictions on system actions, in order to meet safety constraints. By using stateful priorities we are able to exclusively restrict erroneous system behavior as specified…

Logic in Computer Science · Computer Science 2020-02-21 Christian Herrera

The term Tensor Network States (TNS) refers to a number of families of states that represent different ans\"atze for the efficient description of the state of a quantum many-body system. Matrix Product States (MPS) are one particular case…

High Energy Physics - Lattice · Physics 2014-02-04 Mari Carmen Bañuls , Krzysztof Cichy , J. Ignacio Cirac , Karl Jansen , Hana Saito

Power transformers are critical assets in power networks, whose reliability directly impacts grid resilience and stability. Traditional condition monitoring approaches, often rule-based or purely physics-based, struggle with uncertainty,…

Machine Learning · Computer Science 2025-12-30 Jose I. Aizpurua

(Please refer to arXiv:1810.08050, which has completely different aims but contains all the main contents of this paper) In this work, we propose to access the information of criticality and excitations of one-dimensional quantum systems by…

Strongly Correlated Electrons · Physics 2018-10-22 Emanuele Tirrito , Luca Tagliacozzo , Maciej Lewenstein , Shi-Ju Ran

In this paper, a novel linear formulation for power system state estimation that simultaneously treats conventional and synchrophasor measurements is proposed. A linear circuit model for conventional measurements is introduced to enable a…

Signal Processing · Electrical Eng. & Systems 2018-12-04 Aleksandar Jovicic , Marko Jereminov , Larry Pileggi , Gabriela Hug

This paper presents a new paradigm to stabilize uncertain stochastic linear systems. Herein, second moment polytopic (SMP) systems are proposed that generalize systems with both uncertainty and randomness. The SMP systems are characterized…

Optimization and Control · Mathematics 2024-10-28 Yuji Ito , Kenji Fujimoto

An efficient representation of observed data has many benefits in various domains of engineering and science. Representing static data sets, such as images, is a living branch in machine learning and eases downstream tasks, such as…

Systems and Control · Computer Science 2018-09-28 Friedrich Solowjow , Arash Mehrjou , Bernhard Schölkopf , Sebastian Trimpe

In this work, we propose a non-parametric probabilistic load flow (NP-PLF) technique based on the Gaussian Process (GP) learning to understand the power system behavior under uncertainty for better operational decisions. The technique can…

Systems and Control · Electrical Eng. & Systems 2020-03-19 Parikshit Pareek , Chuan Wang , Hung D. Nguyen

This note studies the robust output feedback stabilization problem of a class of multi-input multi-output invertible nonlinear systems, for which an "ideal" state feedback based on feedback linearization can be designed under certain mild…

Systems and Control · Electrical Eng. & Systems 2021-01-07 Lei Wang , Christopher M. Kellett

Electrical power systems are increasing in size, complexity, as well as dynamics due to the growing integration of renewable energy resources, which have sporadic power generation. This necessitates the development of near real-time power…

Machine Learning · Computer Science 2023-03-02 Ognjen Kundacina , Gorana Gojic , Mile Mitrovic , Dragisa Miskovic , Dejan Vukobratovic

Investment planning in power utilities, such as generation and transmission expansion, requires decisions under substantial uncertainty over decade--long horizons for policies, demand, renewable availability, and outages, while maintaining…

Machine Learning · Computer Science 2026-03-17 Nicolas M. Cuadrado A. , Mohannad Takrouri , Jiří Němeček , Martin Takáč , Jakub Mareček

This article addresses the problem of efficient Bayesian inference in dynamic systems using particle methods and makes a number of contributions. First, we develop a correlated pseudo-marginal (CPM) approach for Bayesian inference in state…

Methodology · Statistics 2016-12-22 P. Choppala , D. Gunawan , J. Chen , M. -N. Tran , R. Kohn

Various versions of the Dynamical Systems Method (DSM) are proposed for solving linear ill-posed problems with bounded and unbounded operators. Convergence of the proposed methods is proved. Some new results concerning discrepancy principle…

Numerical Analysis · Mathematics 2007-05-23 A. G. Ramm

Budget allocation for power system reliability improvement is considered among the sophisticated problems because of its nonlinear nature. This nonlinearity makes the problem intractable for large-scale power systems. This paper compares…

Signal Processing · Electrical Eng. & Systems 2019-01-08 Hamzeh Davarikia , Masoud Barati , Yupo Chan , Kamran Iqbal

This paper studies the structural controllability of a class of uncertain switched linear systems, where the parameters of subsystems state matrices are either unknown or zero. The structural controllability is a generalization of the…

Systems and Control · Computer Science 2013-08-27 Xiaomeng Liu , Hai Lin , Ben M. Chen

We propose a moving horizon estimation scheme to estimate the states and the unknown constant parameters of general nonlinear uncertain discrete-time systems. The proposed framework and analysis explicitly do not involve the a priori…

Systems and Control · Electrical Eng. & Systems 2025-12-22 Julian D. Schiller , Matthias A. Müller

The paper discusses linear fractional representations of parameter-dependent nonlinear systems with dynamics defined by real rational nonlinearities and a finite set of point delays. The global asymptotic stability is investigated via…

Dynamical Systems · Mathematics 2008-03-27 M. De la Sen

We extend the theory of spectral submanifolds (SSMs) to general non-autonomous dynamical systems that are either weakly forced or slowly varying. Examples of such systems arise in structural dynamics, fluid-structure interactions and…

Dynamical Systems · Mathematics 2024-04-09 George Haller , Roshan S. Kaundinya