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We propose an approach to modeling of AC motors entirely based on analytical mechanics. Symmetry and connection constraints are moreover incorporated in the energy function from which the models are derived. The approach is especially…

Optimization and Control · Mathematics 2016-09-27 Pascal Combes , Al Kassem Jebai , François Malrait , Philippe Martin , Pierre Rouchon

Energy dynamics calculations in a 3D fluid simulation of drift wave turbulence in the linear Large Plasma Device (LAPD) [W. Gekelman et al., Rev. Sci. Inst. 62, 2875 (1991)] illuminate processes that drive and dissipate the turbulence.…

Plasma Physics · Physics 2013-01-07 B. Friedman , T. A. Carter , M. V. Umansky , D. Schaffner , B. Dudson

We present a controller and transmission policy design procedure for nonlinear wireless networked control systems. Our objective is to ensure the stability of the closed-loop system, in a stochastic sense, together with given control…

Systems and Control · Electrical Eng. & Systems 2022-07-06 Vineeth S. Varma , Romain Postoyan , Daniel E. Quevedo , Irinel-Constantin Morarescu

We present an improvement of a recent funnel controller design for uncertain nonlinear multi-input, multi-output systems modeled by higher order functional differential equations in the presence of input constraints. The objective is to…

Optimization and Control · Mathematics 2026-04-29 Thomas Berger

Power transmission in one-dimensional nonlinear magnetic metamaterials driven at one end is investigated numerically and analytically in a wide frequency range. The nonlinear magnetic metamaterials are composed of varactor-loaded split-ring…

Classical Physics · Physics 2015-05-27 Nikos Lazarides , Vassilis Paltoglou , G. P. Tsironis

We consider a system of two linear and linearly coupled oscillators with ideal impact constraints. Primary resonant energy exchange is investigated by analysis of the slow-flow using the action-angle (AA) formalism. Exact inversion of the…

Chaotic Dynamics · Physics 2018-08-15 Nathan Perchikov , O. V. Gendelman

Phase reduction is a general tool widely used to describe forced and interacting self-sustained oscillators. Here we explore the phase coupling functions beyond the usual first-order approximation in the strength of the force. Taking the…

Computational Physics · Physics 2019-06-03 M. Rosenblum , A. Pikovsky

We describe power-dependent dynamics of conversion of the guided modes of various guiding structures due to nearly resonant longitudinal modulation of the nonlinear coefficient of the medium. It is shown that the control of the energy…

Modern equality saturation systems excel at expression-level rewrites by exploring large spaces of equivalent programs without suffering from the phase-ordering problem. How- ever, these systems struggle to represent equivalence directly…

Programming Languages · Computer Science 2026-05-28 Guillermo Garcia

We report a microscopic and general theoretical formalism for electrical response which is appropriate for both DC and AC weakly nonlinear quantum transport. The formalism emphasizes the electron-electron interaction and maintains current…

Condensed Matter · Physics 2009-10-30 Zhong-shui Ma , Jian Wang , Hong Guo

In passive linear systems, complete combining of powers carried by waves from several input channels into a single output channel is forbidden by the energy conservation law. Here, we demonstrate that complete combination of both coherent…

Optics · Physics 2021-06-01 Xuchen Wang , Viktar S. Asadchy , Shanhui Fan , Sergei. A. Tretyakov

We propose new methods to synthesize control barrier function (CBF)-based safe controllers that avoid input saturation, which can cause safety violations. In particular, our method is created for high-dimensional, general nonlinear systems,…

Robotics · Computer Science 2022-11-22 Simin Liu , Changliu Liu , John Dolan

New parameterizations for the spectra dissipation of wind-generated waves are proposed. The rates of dissipation have no predetermined spectral shapes and are functions of the wave spectrum and wind speed and direction, in a way consistent…

Linear and nonlinear resonant states can be restrictive: they exist at particular discrete states in frequency and/or elasticity, under particular (e.g., simple-harmonic) waveforms. In forced oscillators, this restrictiveness is an obstacle…

Systems and Control · Electrical Eng. & Systems 2022-11-16 Arion Pons , Tsevi Beatus

We look into the fluctuations caused by disturbances in power systems. In the linearized system of the power systems, the disturbance is modeled by a Brownian motion process, and the fluctuations are described by the covariance matrix of…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Xian Wu , Kaihua Xi , Aijie Cheng , Hai Xiang Lin , Jan H van Schuppen , Chenghui Zhang

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

A novel wide-area control design is presented to mitigate inter-area power frequency oscillations. A large-scale power system is decomposed into a network of passivity-short subsystems whose nonlinear interconnections have a state-dependent…

Systems and Control · Electrical Eng. & Systems 2021-01-21 Ying Xu , Zhihua Qu , Roland Harvey , Toru Namerikawa

This paper describes a robust linear time-invariant output-feedback control strategy to reduce turbulent fluctuations, and therefore skin-friction drag, in wall-bounded turbulent fluid flows, that nonetheless gives performance guarantees in…

Fluid Dynamics · Physics 2016-03-25 Peter H. Heins , Bryn Ll. Jones , Ati S. Sharma

Non-bonded potentials are included in most force fields and therefore widely used in classical molecular dynamics simulations of materials and interfacial phenomena. It is commonplace to truncate these potentials for computational…

Computational Physics · Physics 2017-10-04 Martin Fitzner , Laurent Joly , Ming Ma , Gabriele C Sosso , Andrea Zen , Angelos Michaelides

The conventional power allocation strategy via water-filling relies on the premise that the power amplifier (PA) operates sufficiently below saturation such that a linear RF chain model holds. This work integrates the PA nonlinearity…

Information Theory · Computer Science 2026-04-10 Achref Tellili , Nathaniel Paul Epperson , Mohamed Akrout