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We consider a standard optomechanical system where a mechanical oscillator is coupled to a cavity mode through the radiation pressure interaction. The oscillator is coherently driven at its resonance frequency, whereas the cavity mode is…

Mesoscale and Nanoscale Physics · Physics 2019-03-01 Kjetil Borkje

Contemporary electricity distribution systems are being challenged by the variability of renewable energy sources. Slow response times and long energy management periods cannot efficiently integrate intermittent renewable generation and…

Systems and Control · Computer Science 2016-02-02 Gang Wang , Vassilis Kekatos , Antonio J. Conejo , Georgios B. Giannakis

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

This article illustrates the application of multiple scales analysis to two archetypal quasilinear systems; i.e. to systems involving fast dynamical modes, called fluctuations, that are not directly influenced by fluctuation--fluctuation…

Fluid Dynamics · Physics 2019-03-14 G. Michel , G. P. Chini

This paper proposes a Nonlinear Model-Predictive Control (NMPC) method capable of finding and converging to energy-efficient regular oscillations, which require no control action to be sustained. The approach builds up on the recently…

Sensitivity analysis is a classical and fundamental tool to evaluate the role of a given parameter in a given system characteristic. Because the phase response curve is a fundamental input--output characteristic of oscillators, we developed…

Dynamical Systems · Mathematics 2024-05-03 Pierre Sacré , Rodolphe Sepulchre

Ensuring the stability of power systems is gaining more attraction today than ever before, due to the rapid growth of uncertainties in load and renewable energy penetration. Lately, wide area measurement system-based centralized controlling…

Systems and Control · Electrical Eng. & Systems 2020-01-23 Yousaf Hashmy , Zhe Yu , Di Shi , Yang Weng

This paper presents a generalized energy storage system model for voltage and angle stability analysis. The proposed solution allows modeling most common energy storage technologies through a given set of linear differential algebraic…

Systems and Control · Computer Science 2026-03-24 Álvaro Ortega , Federico Milano

We propose using the dynamical invariant also known as the Lewis-Riesenfeld invariant, to speed-up the equilibration of a driven open quantum system. This allows us to reverse engineer the time-dependent master equation that describes the…

Quantum Physics · Physics 2025-03-14 Mohamed Boubakour , Shimpei Endo , Thomás Fogarty , Thomas Busch

This paper is a preliminary work to address the problem of dynamical systems with parameters varying in time. An idea to predict their behaviour is proposed. These systems are called \emph{transient systems}, and are distinguished from…

Dynamical Systems · Mathematics 2014-11-04 Ugo Galvanetto , Luca Magri

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

Sustained oscillations observed in power systems can damage equipment, degrade the power quality and increase the risks of cascading blackouts. There are several mechanisms that can give rise to oscillations, each requiring different…

Systems and Control · Computer Science 2015-10-12 Xiaozhe Wang , Konstantin Turitsyn

We report on the possibilities of using the method of normal fundamental systems for solving some problems of oscillation theory. Large elastic dynamical systems with continuous and discrete parameters are considered, which have many…

Numerical Analysis · Mathematics 2007-05-23 Olena V. Mul , Delfim F. M. Torres

This article proposes a dynamical system modeling approach for the analysis of longitudinal data of self-regulated systems experiencing multiple excitations. The aim of such an approach is to focus on the evolution of a signal (e.g., heart…

In recent years, several studies conducted by both industry and U.S. Department of Energy (DOE)-funded initiatives have proposed linking North America's Eastern and Western Interconnections (EI and WI) through a multiterminal DC (MTDC)…

Systems and Control · Electrical Eng. & Systems 2025-11-06 Kaustav Chatterjee , Sameer Nekkalapu , Antos Varghese , Marcelo Elizondo , Quan Nguyen , Xiaoyuan Fan

This paper deals with the energy transport properties of charged particles with time-dependent damping force. Based on the proposed nonlinear dimensionless mapping,the stability and dynamical evolution of the particle system is analyzed…

Chaotic Dynamics · Physics 2017-02-01 Hao Zhang , Pengcheng Luo , Huifang Ding

In recent papers [1] and [2], the second author developed full-state feedback controllers for networked systems to block the observability and controllability of certain remote nodes. In this paper, we build on these control schemes to an…

Optimization and Control · Mathematics 2025-04-08 Rajasekhar Anguluri , Abdullah Al Maruf

Localization of normal modes is used in recent microelectromechanical systems (MEMS) technologies with orders of magnitude improvements in sensitivity. A pair of eigenvalues veer, or avoid crossing each other, as a single parameter of a…

Applied Physics · Physics 2018-05-29 M. Manav , A. S. Phani , E. Cretu

Improving the controllability of power networks is crucial as they are highly complex networks operating in synchrony; even minor perturbations can cause desynchronization and instability. To that end, one needs to assess the criticality of…

Systems and Control · Electrical Eng. & Systems 2025-05-16 MirSaleh Bahavarnia , Muhammad Nadeem , Ahmad F. Taha

Many techniques originally developed in the context of deterministic control theory have been recently applied to the quest for optimal protocols in stochastic processes. Given a system subject to environmental fluctuations, one may ask…

Statistical Mechanics · Physics 2025-01-15 Dario Lucente , Alessandro Manacorda , Andrea Plati , Alessandro Sarracino , Marco Baldovin