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This paper studies synchronization in coupled nonlinear dynamic networks with unknown parameters. Adaptation can be added to one or several elements in the network, while preserving the global synchronization conditions derived in…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Wei Wang , Jean-Jacques E. Slotine

The relative degree limitation for adaptive observer-based synchronization schemes is overcome. The scheme is extended to nonpassifiable systems. Two synchronization methods are described and justified based on augmented error adaptive…

Optimization and Control · Mathematics 2007-05-23 V. O. Nikiforov , A. L. Fradkov , B. R. Andrievsky

A novel adaptive identifier is developed for nonlinear time-delay systems composed of linear, Lipschitz and non-Lipschitz components. To begin with, an identifier is designed for uncertain systems with a priori known delay values, and then…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Igor Furtat , Yury Orlov

Adaptive control technique is adopted to synchronize two identical non-autonomous systems with unknown parameters in finite time. A virtual unknown parameter is introduced in order to avoid the unknown parameters from appearing in the…

Chaotic Dynamics · Physics 2016-09-08 Jianping Cai , Meili Lin

A new method of virtual unknown parameter is proposed to synchronize two different systems with unknown parameters and disturbance in finite time. Virtual unknown parameters are introduced in order to avoid the unknown parameters from…

Chaotic Dynamics · Physics 2009-09-30 Meili Lin , Zhengzhong Yuan , Jianping Cai

A technique is introduced for estimating unknown parameters when time series of only one variable from a multivariate nonlinear dynamical system is given. The technique employs a combination of two different control methods, a linear…

chao-dyn · Physics 2009-10-31 Anil Maybhate , R. E. Amritkar

It has been proposed to realize secure communication using chaotic synchronization via transmission of binary message encoded by parameter modulation in the chaotic system. This paper considers the use of parameter adaptive control…

Chaotic Dynamics · Physics 2007-05-23 Changsong Zhou , C. -H. Lai

In this paper we show how the Parameter Switching algorithm, utilized initially to approximate attractors of a general class of nonlinear dynamical systems, can be utilized also as a synchronization-induced method. Two illustrative examples…

Chaotic Dynamics · Physics 2016-02-17 Marius-F. Danca , Nikolay Kuznetsov

We investigate synchronization between two unidirectionally linearly coupled chaotic non-identical time-delayed systems and show that parameter mismatches are of crucial importance to achieve synchronization. We establish that independent…

Chaotic Dynamics · Physics 2015-06-26 E. M. Shahverdiev , R. A. Nuriev , R. H. Hashimov , K. A. Shore

We address the issue of how to identify the equations of a largely unknown chaotic system from knowledge about its state evolution. The technique can be applied to the estimation of parameters that drift slowly with time. To accomplish…

Disordered Systems and Neural Networks · Physics 2009-09-17 Francesco Sorrentino , Edward Ott

We experimentally demonstrate and numerically simulate a new adaptive method to maintain synchronization between coupled nonlinear chaotic oscillators, when the coupling between the systems is unknown and time-varying (e.g., due to…

The synchronization of dynamical systems is a method that allows two systems to have identical state trajectories, appart from an error converging to zero. This method consists in an appropriate unidirectional coupling from one system…

Systems and Control · Computer Science 2011-08-20 Bruno Nery , Rodrigo Ventura

This paper considers the problem of parameter identification for a multirobot system. We wish to understand when is it feasible for an adversarial observer to reverse-engineer the parameters of tasks being performed by a team of robots by…

Optimization and Control · Mathematics 2020-09-30 Jaskaran Singh Grover , Changliu Liu , Katia Sycara

Complete chaotic synchronization of end lasers has been observed in a line of mutually coupled, time-delayed system of three lasers, with no direct communication between the end lasers. The present paper uses ideas from generalized…

Chaotic Dynamics · Physics 2009-11-11 Alexandra S. Landsman , Ira B. Schwartz

In this paper, new schemes to synchronize linearly or nonlinearly coupled chaotic systems with an adaptive coupling strength are proposed. Unlike other adaptive schemes, which synchronize coupled chaotic systems to a special trajectory (or…

Dynamical Systems · Mathematics 2007-05-23 Xiwei Liu Tianping Chen

We study how a coupled array of spiking chaotic systems synchronizes to an external driving in a short time. Synchronization means spike separation at adjacent sites much shorter than the average inter-spike interval; a local lack of…

Chaotic Dynamics · Physics 2007-09-10 M. Ciszak , A. Montina , F. T. Arecchi

In applications of dynamical systems, situations can arise where it is desired to predict the onset of synchronization as it can lead to characteristic and significant changes in the system performance and behaviors, for better or worse. In…

Adaptation and Self-Organizing Systems · Physics 2021-06-30 Huawei Fan , Ling-Wei Kong , Ying-Cheng Lai , Xingang Wang

The identification of a linear system model from data has wide applications in control theory. The existing work that provides finite sample guarantees for linear system identification typically uses data from a single long system…

Machine Learning · Statistics 2025-05-09 Lei Xin , Baike She , Qi Dou , George Chiu , Shreyas Sundaram

We consider a dynamic method, based on synchronization and adaptive control, to estimate unknown parameters of a nonlinear dynamical system from a given scalar chaotic time series. We present an important extension of the method when time…

Chaotic Dynamics · Physics 2009-10-31 Anil Maybhate , R. E. Amritkar

In this paper a proposal is made of an adaptive coupling function for achieving synchronization between two lasers subject to optical feedback. Such a control scheme requires knowledge of the systems' parameters. For the first time we…

Chaotic Dynamics · Physics 2007-05-23 E. M. Shahverdiev , R. A. Nuriev , R. H. Hashimov , K. A. Shore
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