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This paper revisits a recently developed methodology based on the matrix Lambert W function for the stability analysis of linear time invariant, time delay systems. By studying a particular, yet common, second order system, we show that in…

Dynamical Systems · Mathematics 2015-02-11 Rudy Cepeda-Gomez , Wim Michiels

This paper is a comprehensive study of a long observed phenomenon of increase in the stability margin and so the rate of convergence of a class of linear systems due to time delay. We use Lambert W function to determine (a) in what systems…

Multiagent Systems · Computer Science 2019-07-23 Hossein Moradian , Solmaz S. Kia

Flight delays impose challenges that impact any flight transportation system. Predicting when they are going to occur is an important way to mitigate this issue. However, the behavior of the flight delay system varies through time. This…

Machine Learning · Computer Science 2022-02-01 Lucas Giusti , Leonardo Carvalho , Antonio Tadeu Gomes , Rafaelli Coutinho , Jorge Soares , Eduardo Ogasawara

This brief note complements some results regarding a recently developed technique for the stability analysis of linear time-invariant, time delay systems using the matrix Lambert W function. By means of a numeric example, it is shown that…

Optimization and Control · Mathematics 2017-08-14 Rudy Cepeda-Gomez

In this paper we present a model-based control approach for autonomous flight of kites for wind power generation. Predictive models are considered to compensate for delay in the kite dynamics. We apply Model Predictive Control (MPC), with…

Optimization and Control · Mathematics 2017-06-13 Tony A. Wood , Henrik Hesse , Roy S. Smith

A one species time-delay reaction-diffusion system defined on a complex networks is studied. Travelling waves are predicted to occur as follows a symmetry breaking instability of an homogenous stationary stable solution, subject to an…

Statistical Mechanics · Physics 2015-09-30 Julien Petit , Timoteo Carletti , Mabor Asslani , Duccio Fanelli

Assurance of asymptotic trajectory tracking in robotic manipulators with a smooth control law in the presence of unmodeled dynamics or external disturbance is a challenging problem. Recently, it is asserted that it is achieved via a…

Robotics · Computer Science 2022-05-17 M. Reza J. Harandi

In this note, analysis of time delay systems using Lambert W function approach is reassessed. A common canonical form of time delay systems is defined. We extended the recent results of [6] for second order into nth order system. The…

Systems and Control · Computer Science 2017-09-05 Niraj Choudhary , Janardhanan Sivaramakrishnan , Indra Narayan Kar

We present the sensor setup and the basic navigation algorithm used for the flight control of the SkySails towing kite system. Starting with brief summaries on system setup and equations of motion of the tethered kite system, we…

Systems and Control · Computer Science 2013-04-09 Michael Erhard , Hans Strauch

We study the control of transport properties in a deterministic inertia ratchet system via the extended delay feedback method. A chaotic current of a deterministic inertia ratchet system is controlled to a regular current by stabilizing…

Chaotic Dynamics · Physics 2007-05-23 Woo-Sik Son , Jung-Wan Ryu , Dong-Uk Hwang , Soo-Young Lee , Young-Jai Park , Chil-Min Kim

We study the possibility to stabilize unstable steady states and unstable periodic orbits in chaotic fractional-order dynamical systems by the time-delayed feedback method. By performing a linear stability analysis, we establish the…

General Physics · Physics 2011-07-07 Aleksandar Gjurchinovski , Trifce Sandev , Viktor Urumov

A novel tracking paradigm for flying geometric trajectories using tethered kites is presented. It is shown how the differential-geometric notion of turning angle can be used as a one-dimensional representation of the kite trajectory, and…

Optimization and Control · Mathematics 2011-07-18 Jorn H. Baayen , Wubbo J. Ockels

We show how machine learning methods can unveil the fractional and delayed nature of discrete dynamical systems. In particular, we study the case of the fractional delayed logistic map. We show that given a trajectory, we can detect if it…

Dynamical Systems · Mathematics 2023-09-08 J. Alberto Conejero , Òscar Garibo-i-Orts , Carlos Lizama

We report on a significant improvement of the classical time-delayed feedback control method for stabilization of unstable periodic orbits or steady states. In an electronic circuit experiment we were able to realize time-varying and…

Chaotic Dynamics · Physics 2012-02-03 Thomas Jüngling , Aleksandar Gjurchinovski , Viktor Urumov

Technologically driven transport systems are characterized by a networked structure connecting operation centers and by a dynamics ruled by pre-established schedules. Schedules impose serious constraints on the timing of the operations,…

Physics and Society · Physics 2013-01-30 Pablo Fleurquin , Jose J. Ramasco , Victor M. Eguiluz

We show that time-delayed feedback methods, which have successfully been used to control unstable periodic ortbits, provide a tool to stabilize unstable steady states. We present an analytical investigation of the feedback scheme using the…

Other Condensed Matter · Physics 2009-11-11 P. Hoevel , E. Schoell

This paper addresses the stabilization control problem for networked mobile robot subject to communication delay. A new state estimation filter namely past observation-based predictive filter is developed. This filter enables the prediction…

Systems and Control · Electrical Eng. & Systems 2020-05-14 Manh Duong Phung , Thi Thanh Van Nguyen , Thuan Hoang Tran , Quang Vinh Tran

A complete model of the motion of a quadcopter along a smooth spatial trajectory is presented. Based on the model, a robust algorithm is proposed for controlling a quadcopter using measurements of linear coordinates and yaw angle. By…

Systems and Control · Electrical Eng. & Systems 2026-05-18 Stanislav Kim , Anton Pyrkin , Oleg Borisov

Converting the traction power of kites into electricity can be a low cost solution for wind energy. Reliable control of both trajectory and tether reeling is crucial. The present study proposes a modelling framework describing the dynamic…

Systems and Control · Computer Science 2017-05-11 Uwe Fechner , Rolf van der Vlugt , Edwin Schreuder , Roland Schmehl

Time delayed feedback control is one of the most successful methods to discover dynamically unstable features of a dynamical system in an experiment. This approach feeds back only terms that depend on the difference between the current…

Dynamical Systems · Mathematics 2016-04-26 Jan Sieber
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