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Input-to-state stability (ISS) allows estimating the impact of inputs and initial conditions on both the intermediate values and the asymptotic bound on the solutions. ISS has unified the input-output and Lyapunov stability theories and is…

Optimization and Control · Mathematics 2023-02-02 Andrii Mironchenko

In this paper, we propose an energy-based method for the transient stability analysis of a power system transmission switching event. In this method the exit point of pseudo-fault trajectory is used to determine a relevant controlling…

Signal Processing · Electrical Eng. & Systems 2018-02-14 Robert Owusu-Mireku , Hsiao-Dong Chiang

Multi-stability is a widely observed phenomenon in real complex networked systems, such as technological infrastructures, ecological systems, gene regulation, transportation and more. When a system functions normally but there exists also a…

Physics and Society · Physics 2022-05-27 Hillel Sanhedrai , Shlomo Havlin

We develop a generalized stability framework for stochastic discrete-time systems, where the generality pertains to the ways in which the distribution of the state energy can be characterized. We use tools from finance and operations…

Systems and Control · Electrical Eng. & Systems 2022-11-23 Margaret P. Chapman , Dionysios S. Kalogerias

Impedance is an intuitive and efficient way for dynamic representation of power electronics devices. One of the evident strengths, when compared to other small-signal methods, is the natural association with circuit theory. This makes them…

Systems and Control · Computer Science 2018-11-16 Chen Zhang , Marta Molinas , Atle Rygg , Xu Cai

Causality plays a central role in understanding interactions between variables in complex systems. These systems often exhibit state-dependent causal relationships, where both the strength and direction of causality vary with the value of…

Data Analysis, Statistics and Probability · Physics 2025-08-05 Álvaro Martínez-Sánchez , Adrián Lozano-Durán

Despite wide-scale deployment of phasor measurement unit technology, locating the sources of low frequency forced oscillations in power systems is still an open research topic. The dissipating energy flow method is one source location…

Systems and Control · Computer Science 2018-11-12 Samuel Chevalier , Petr Vorobev , Konstantin Turitsyn , Bin Wang , Slava Maslennikov

The transmission of information can couple two entities of very different nature, one of them serving as a memory for the other. Here we study the situation in which information is stored in a wave field and serves as a memory that pilots…

Soft Condensed Matter · Physics 2016-09-16 Stéphane Perrard , Matthieu Labousse , Emmanuel Fort , Yves Couder

The fundamental mechanism of transient stability of the conventional power system can be physically understood with the rotor swing dynamics of synchronous generators (SGs). The basic factor affecting the transient stability is the…

Systems and Control · Electrical Eng. & Systems 2020-10-27 Xiuqiang He , Hua Geng

This paper demonstrates the concept of probabilistic stability assessment on large-signal stability in the use case of short circuits in an active distribution grid. Here, the concept of survivability is applied, which extends classical…

Systems and Control · Electrical Eng. & Systems 2021-06-18 Sebastian Liemann , Lia Strenge , Paul Schultz , Holm Hinners , Johannis Porst , Marcel Sarstedt , Frank Hellmann

Due to the evolving nature of power grids and model uncertainty, the online stability assessment of electrical power systems is always a challenging problem. This paper aims to provide a theoretical framework for estimating the region of…

Systems and Control · Electrical Eng. & Systems 2019-11-26 Chao Zhai

The power interactions of any component in electric energy systems with the rest of the system happen naturally, as governed by the energy conservation principles. There may, however, occur instances when the rate at which power gets…

Systems and Control · Electrical Eng. & Systems 2022-05-17 Rupamathi Jaddivada , Marija D. Ilic

Fluctuations in biochemical networks, e.g., in a living cell, have a complex origin that precludes a description of such systems in terms of bipartite or multipartite processes, as is usually done in the framework of stochastic and/or…

Statistical Mechanics · Physics 2020-01-29 R. Chétrite , M. L. Rosinberg , T. Sagawa , G. Tarjus

We present a data-based approach to design event-triggered state-feedback controllers for unknown continuous-time linear systems affected by disturbances. By an event, we mean state measurements transmission from the sensors to the…

Systems and Control · Electrical Eng. & Systems 2022-08-25 Claudio De Persis , Romain Postoyan , Pietro Tesi

Here we develop an approach to predict power grid weak points, and specifically to efficiently identify the most probable failure modes in static load distribution for a given power network. This approach is applied to two examples: Guam's…

Optimization and Control · Mathematics 2010-09-16 Michael Chertkov , Feng Pan , Mikhail G. Stepanov

Information-theoretic arguments focus on modeling the reliability of information transmission, assuming availability of infinite data at sources, thus ignoring randomness in message generation times at the respective sources. However, in…

Networking and Internet Architecture · Computer Science 2009-09-29 K. C. V. Kalyanarama Sesha Sayee

State-dependent networked dynamical systems are ones where the interconnections between agents change as a function of the states of the agents. Such systems are highly nonlinear, and a cohesive strategy for their control is lacking in the…

Optimization and Control · Mathematics 2018-09-21 Mathias Hudoba de Badyn , Utku Eren , Behcet Acikmese , Mehran Mesbahi

This paper aims to proactively diagnose and manage frequency instability risks from a steady-state perspective, without the need for derivative-dependent transient modeling. Specifically, we jointly address two questions (Q1) Survivability:…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Swadesh Vhakta , Denis Osipov , Reetam Sen Biswas , Amritanshu Pandey , Seyyedali Hosseinalipour , Shimiao Li

In nervous system information is conveyed by sequence of action potentials (spikes-trains). As MacKay and McCulloch proposed, spike-trains can be represented as bits sequences coming from Information Sources. Previously, we studied…

Quantitative Methods · Quantitative Biology 2021-02-03 Agnieszka Pregowska

In this paper, we consider the stability analysis of large-scale distributed networked control systems with random communication delays between linearly interconnected subsystems. The stability analysis is performed in the Markov jump…

Systems and Control · Computer Science 2015-11-13 Kooktae Lee , Raktim Bhattacharya