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The force exerted by the electrons on the nuclei of a current-carrying molecular junction can be manipulated to engineer nanoscale mechanical systems. In the adiabatic regime a peculiarity of these forces is negative friction, responsible…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Alexey Kartsev , Claudio Verdozzi , Gianluca Stefanucci

We propose a general method for optimizing periodic input waveforms for global entrainment of weakly forced limit-cycle oscillators based on phase reduction and nonlinear programming. We derive averaged phase dynamics from the mathematical…

Adaptation and Self-Organizing Systems · Physics 2021-07-28 Yuzuru Kato , Anatoly Zlotnik , Jr-Shin Li , Hiroya Nakao

The nanometer scale beam sizes at the interaction point in linear colliders limit the allowable motion of the final focus magnets. We have constructed a prototype system to investigate the use of active vibration damping to control magnet…

Instrumentation and Detectors · Physics 2010-01-05 Josef Frisch , Linda Hendirckson , Thomas Himel , Andrei Seryi

We propose a method for estimating the asymptotic phase and amplitude functions of limit-cycle oscillators using observed time series data without prior knowledge of their dynamical equations. The estimation is performed by polynomial…

Adaptation and Self-Organizing Systems · Physics 2023-01-19 Norihisa Namura , Shohei Takata , Katsunori Yamaguchi , Ryota Kobayashi , Hiroya Nakao

The main limitation in order to exploit spin torque nano-oscillators (STNOs) in various potential applications is their large phase noise. In this work, we demonstrate its efficient reduction by a highly reconfigurable, compact,…

The objective of this research is to mitigate vibrations in induction motors. To achieve this goal, a discontinuous pulse width modulation (PWM) control strategy based on carrier wave modulation is proposed for multilevel inverters. This…

Systems and Control · Electrical Eng. & Systems 2024-01-31 A Ruiz-Gonzalez , JR Heredia-Larrubia , FM Perez-Hidalgo , M Meco-Gutierrez

Nanoparticles levitated in an optical trap provide a versatile platform to study mechanical oscillators in a controlled environment with tuneable parameters. Recently, it has become possible to couple two of these optomechanical…

This note addresses the output synchronization problem of incrementally output-feedback passive nonlinear systems in the presence of exogenous disturbances. Two kinds of distributed controllers are proposed; one placed at the nodes and the…

Systems and Control · Computer Science 2015-09-15 Hongkeun Kim , Claudio De Persis

This paper proposes a new nonlinear stability analysis for the acceleration-based robust position control of robot manipulators by using Disturbance Observer (DOb). It is shown that if the nominal inertia matrix is properly tuned in the…

Systems and Control · Computer Science 2019-02-22 Emre Sariyildiz , Hiromu Sekiguchi , Takahiro Nozaki , Barkan Ugurlu , Kouhei Ohnishi

The behaviour of a space-modulated, so-called "argumental" oscillator is studied, which is represented by a model having an even-parity space-modulating function. Analytic expressions of a stability criterion and of discrete energy levels…

Chaotic Dynamics · Physics 2016-06-30 Daniel Cintra , Pierre Argoul

Spontaneous oscillations induced by time delays are observed in many real-world systems. Phase reduction theory for limit-cycle oscillators described by delay-differential equations (DDEs) has been developed to analyze their synchronization…

Adaptation and Self-Organizing Systems · Physics 2020-07-23 Kiyoshi Kotani , Yutaro Ogawa , Sho Shirasaka , Akihiko Akao , Yasuhiko Jimbo , Hiroya Nakao

This paper presents a novel nonlinear disturbance rejection control for hydraulic robots. This method requires two third-order filters as well as inverse dynamics in order to estimate the disturbances. All the parameters for the third-order…

Robotics · Computer Science 2020-05-05 Peng Lu , Timothy Sandy , Jonas Buchli

For the LISA mission, Tilt-To-Length (TTL) coupling is expected to be one of the dominant instrumental noise contributions after laser frequency noise is suppressed based, on assumptions on the size of the coupling and angular jitter…

Instrumentation and Methods for Astrophysics · Physics 2026-02-16 Lavinia Heisenberg , Henri Inchauspé , Sarah Paczkowski , Ricardo Waibel

This paper addresses the problem of designing an optimal output feedback controller with a specified controller structure for linear time-invariant (LTI) systems to maximize the passivity level for the closed-loop system, in both…

Systems and Control · Electrical Eng. & Systems 2019-07-31 Lanlan Su , Vijay Gupta , Panos Antsaklis

We introduce a new method for reducing phase noise in oscillators, thereby improving their frequency precision. The noise reduction device consists of a pair of coupled nonlinear resonating elements that are driven parametrically by the…

Mesoscale and Nanoscale Physics · Physics 2012-07-18 Eyal Kenig , M. C. Cross , Ron Lifshitz , R. B. Karabalin , L. G. Villanueva , M. H. Matheny , M. L. Roukes

Processing quantum information on continuous variables requires a highly nonlinear element in order to attain universality. Noise reduction in processing such quantum information involves the use of a nonlinear phase state as a non-Gaussian…

Quantum Physics · Physics 2019-11-27 Darren W. Moore , Andrey A. Rakhubovsky , Radim Filip

This paper develops systematically the output feedback exponential stabilization for a one-dimensional unstable/anti-stable wave equation where the control boundary suffers from both internal nonlinear uncertainty and external disturbance.…

Optimization and Control · Mathematics 2017-06-08 Hua-Cheng Zhou , George Weiss

This paper presents a framework grounded in the theory of describing function (DF) and incremental-input DF to theoretically analyze the nonlinear oscillatory response of automated vehicles (AVs) car-following (CF) amidst traffic…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Sixu Li , Yang Zhou

Stably inverting a dynamic system model is the foundation of numerous servo designs. Existing inversion techniques have provided accurate model approximations that are often highly effective in feedforward controls. However, when the…

Systems and Control · Computer Science 2019-11-19 Dan Wang , Xu Chen

In the context of studying periodic processes, this paper investigates first under which conditions switching affine systems in the plane generate stable limit cycles. Based on these conditions, a design methodology is proposed by which the…

Systems and Control · Electrical Eng. & Systems 2023-03-30 Nils Hanke , Olaf Stursberg