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We study the generalized synchronization and its stability using master stability function (MSF), in a network of coupled nearly identical dynamical systems. We extend the MSF approach for the case of degenerate eigenvalues of the coupling…

Chaotic Dynamics · Physics 2015-11-11 Suman Acharyya , R. E. Amritkar

This paper presents a robust fixed lag smoother for a class of nonlinear uncertain systems. A unified scheme, which combines a nonlinear robust estimator with a stable fixed lag smoother, is presented to improve the error covariance of the…

Systems and Control · Computer Science 2013-09-10 Obaid Ur Rehman , Ian R. Petersen

The stability of synchronization state in networks of oscillators are studied under the assumption that oscillators and their couplings have slightly mismatched parameters. A generalized master stability function is provided that takes the…

Dynamical Systems · Mathematics 2014-07-29 Saeed Manaffam , Alireza Seyedi

In this paper, a hybrid measurement and model-based method is proposed which can estimate the dynamic state Jacobian matrix in near real-time. The proposed method is computationally efficient and robust to the variation of network topology.…

Systems and Control · Computer Science 2015-10-27 Xiaozhe Wang , Konstantin Turitsyn

The stable operation of the electric power grid relies on a precisely synchronized state of all generators and machines. All machines rotate at exactly the same frequency with fixed phase differences, leading to steady power flows…

Adaptation and Self-Organizing Systems · Physics 2020-01-09 Chiara Balestra , Franz Kaiser , Debsankha Manik , Dirk Witthaut

Current questions in ecology revolve around instabilities in the dynamics on spatial networks and particularly the effect of node heterogeneity. We extend the Master Stability Function formalism to inhomogeneous biregular networks having…

Populations and Evolution · Quantitative Biology 2022-04-27 Alexander Krauß , Thilo Gross , Barbara Drossel

In this work, we report the enhanced stability of induced synchronization observed through transient uncoupling in a class of unidirectionally coupled identical chaotic systems. The phenomenon of transient uncoupling implies the clipping of…

Chaotic Dynamics · Physics 2019-08-28 G. Sivaganesh , A. Arulgnanam , A. N. Seethalakshmi

We derive simple conditions for the stability or instability of the synchronized oscillation of a class of networks of coupled phase-oscillators, which includes many of the systems used in neural modelling.

Pattern Formation and Solitons · Physics 2007-05-23 Guy Katriel

In this letter, we perform a sensitivity analysis on the master stability function approach for the synchronization of networks of coupled dynamical systems. More specifically, we analyze the linear stability of a nearly synchronized…

Disordered Systems and Neural Networks · Physics 2015-05-27 Francesco Sorrentino , Maurizio Porfiri

Sequential Monte Carlo Samplers are a class of stochastic algorithms for Monte Carlo integral estimation w.r.t. probability distributions, which combine elements of Markov chain Monte Carlo methods and importance sampling/resampling…

Probability · Mathematics 2007-05-23 Andreas Eberle , Carlo Marinelli

Global stability of the systems has always been vital of importance; however, this concept has not yet been sufficiently developed for the nonlinear systems. This paper extends the Jacobian matrix so that this method be able to seek the…

Systems and Control · Electrical Eng. & Systems 2024-11-05 seyed Mohammad Hosseindokht , SamanehAlsadat Saeedinia

The paper presents a methodology to enhance the stiffness analysis of serial and parallel manipulators with passive joints. It directly takes into account the loading influence on the manipulator configuration and, consequently, on its…

Robotics · Computer Science 2011-04-06 Anatoly Pashkevich , Alexandr Klimchik , Damien Chablat

The paper focuses on stiffness matrix computation for manipulators with passive joints, compliant actuators and flexible links. It proposes both explicit analytical expressions and an efficient recursive procedure that are applicable in the…

Robotics · Computer Science 2012-02-16 Alexandr Klimchik , Anatoly Pashkevich , Stéphane Caro , Damien Chablat

It is preferred that feature selectors be \textit{stable} for better interpretabity and robust prediction. Ensembling is known to be effective for improving the stability of feature selectors. Since ensembling is time-consuming, it is…

Machine Learning · Computer Science 2021-08-04 Rina Onda , Zhengyan Gao , Masaaki Kotera , Kenta Oono

Many contemporary applications in signal processing and machine learning give rise to structured non-convex non-smooth optimization problems that can often be tackled by simple iterative methods quite effectively. One of the keys to…

Optimization and Control · Mathematics 2020-06-29 Jiajin Li , Anthony Man-Cho So , Wing-Kin Ma

The paper focuses on the enhanced stiffness modeling of robotic manipulators by taking into account influence of the external force/torque acting upon the end point. It implements the virtual joint technique that describes the compliance of…

Robotics · Computer Science 2009-12-09 Anatoly Pashkevich , Alexandr Klimchik , Damien Chablat

Stability analysis of switched systems, characterized by multiple operational modes and switching signals, is challenging due to their nonlinear dynamics. While frameworks such as multiple Lyapunov functions (MLF) provide a foundation for…

Systems and Control · Electrical Eng. & Systems 2026-01-05 Junyue Huang , Shaoyuan Li , Xiang Yin

The calculation of the transfer matrix for a large non-periodic multilayered system may become unstable in the presence of absorption. We discuss the origin of this instability and we explore two methods to overcome it: the use of a total…

We derive variational equations to analyze the stability of synchronization for coupled near-identical oscillators. To study the effect of parameter mismatch on the stability in a general fashion, we define master stability equations and…

Chaotic Dynamics · Physics 2015-05-13 Jie Sun , Erik M. Bollt , Takashi Nishikawa

This paper presents a research devoted to the study of instability phenomena in non-linear model with a constant brake friction coefficient. This paper outlines the stability analysis and a procedure to reduce and simplify the non-linear…

Chaotic Dynamics · Physics 2012-09-28 Jean-Jacques Sinou , Fabrice Thouverez , Louis Jezequel