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lag synchronization Between Two Coupled Networks via Open-Plus-Closed-Loop and Adaptive Controls

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Communications in Theoretical Physics 2016年第1期65卷 33-38页

作者：胡桐春吴永庆李时兴 Department of Public Teaching Hangzhou Polytechnic Hangzhou 311402 China Basic Teaching Department Liaoning Technical University Huludao 125105 China School of Mathematics and Statistics Zhejiang University of Finance & Economics Hangzhou 310018 China

In this paper,we study lag synchronization between two coupled networks and apply two types of control schemes,including the open-plus-closed-loop(OPCL) and adaptive *** then design the corresponding control algorithms according to the OPCL and adaptive feedback *** the designed controllers,we obtain two theorems on the lag synchronization based on Lyapunov stability theory and Barbalat's *** we provide numerical examples to show the effectiveness of the obtained controllers and see that the adaptive control is stronger than the OPCL control when realizing the lag synchronization between two coupled networks with different coupling structures.

关键词： lag synchronization open-plus--closed-loop control adaptive control

lag synchronization between discrete chaotic systems with diverse structure

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Applied Mathematics and Mechanics(English Edition) 2010年第6期31卷 733-738页

作者：柴元吕翎赵鸿雁 College of Physics and Electronic Technology Liaoning Normal University

A lag synchronization controller is designed in studying discrete chaotic systems with diverse structures to realize synchronization between Henon and Ikeda sys- terns. The structure of the lag synchronization controller and the error equations of state variables between discrete chaotic systems are presented based on the stability theory. The designed controller has unique structures for different chaotic systems. lag synchro- nization between any discrete chaotic systems with diverse structures can be achieved. Simulation results show that this control method is effective and feasible.

关键词： chaos lag synchronization Henon system Ikeda system

Backstepping-based lag synchronization of a complex permanent magnet synchronous motor system

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Chinese Physics B 2013年第4期22卷 558-562页

作者：王兴元张昊 Faculty of Electronic Information and Electrical Engineering Dalian University of Technology

Through introducing the concept of complex current and resetting cross-coupling term, this paper proposes a novel complex permanent magnet synchronous motor system and analyzes its properties. Based on a complex permanent magnet synchronous motor system, we design controllers and achieve lag synchronizations both in real part and imaginary part with backstepping method. In our study, we take complex current, time delay, and structure of complex system into consideration. Numerical simulation results demonstrate the validity of controllers.

关键词： complex permanent magnet synchronous motor system time delay lag synchronization backstepping method

Robust lag synchronization between two different chaotic systems via dual-stage impulsive control

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Chinese Physics B 2009年第9期18卷 3751-3757页

作者：张化光马铁东浮洁佟绍成 Key Laboratory of Integrated Automation for the Process Industry Ministry of EducationNortheastern University School of Information Science and Engineering Northeastern University Department of Mathematics and Physics Liaoning University of Technology

In this paper, an improved impulsive lag synchronization scheme for different chaotic systems with parametric uncertainties is proposed. Based on the new definition of synchronization with error bound and a novel impulsive control scheme （the so-called dual-stage impulsive control）, some new and less conservative sufficient conditions are established to guarantee that the error dynamics can converge to a predetermined level, which is more reasonable and rigorous than the existing results. In particular, some simpler and more convenient conditions are derived by taking the same impulsive distances and control gains. Finally, some numerical simulations for the Lorenz system and the Chen system are given to demonstrate the effectiveness and feasibility of the proposed method.

关键词： chaotic systems lag synchronization dual-stage impulsive control parametric uncertainty

Adaptive lag synchronization of uncertain dynamical systems with time delays via simple transmission lag feedback

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Chinese Physics B 2013年第8期22卷 346-355页

作者：顾卫东孙志勇吴晓明于长斌 Shandong Provincial Key Laboratory of Computer Network Shandong Computer Science Center

In this paper we present an adaptive scheme to achieve lag synchronization for uncertain dynamical systems with time delays and unknown parameters. In contrast to the nonlinear feedback scheme reported in the previous literature, the proposed controller is a linear one which only involves simple feedback information from the drive system with signal popagation lags. Besides, the unknown parameters can also be identified via the proposed updating laws in spite of the existence of model delays and transmission lags, as long as the linear independence condition between the related function elements is satisfied. Two examples, i.e., the Mackey-Glass model with single delay and the Lorenz system with multiple delays, are employed to show the effectiveness of this approach. Some robustness issues are also discussed, which shows that the proposed scheme is quite robust in switching and noisy environment.

关键词： adaptive feedback time delay lag synchronization parameter identification noise perturbation

Global Exponential Projective synchronization and lag synchronization of Hyperchaotic Lü System

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Communications in Theoretical Physics 2009年第4期51卷 679-683页

作者： ZHANG Qun-Jiao LU Jun-An JIA Zhen College of Science Wuhan University of Science and Engineering Wuhan.430073 China School of Mathematics and Statistics Wuhan University Wuhan 430072 China Department of Mathematics and Physics Guilin University of Technology Guilin 541004 China

This paper investigates the projective synchronization and lag synchronization of a new hyperchaotic system[Physica A 364(2006)103].On the basis of Lyapunov stability theory,two novel nonlinear controllers are respectivelydesigned to guarantee the global exponential projective synchronization(including complete synchronization and anti-synchronization)and lag ***,numerical simulations are given to show the effectiveness of the mainresults.

关键词： hyperchaotic Lü system projective synchronization lag synchronization exponential

lag synchronization in Nonlinear Systems Based on Adaptive Control

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Journal of Shanghai University(English Edition) 2004年第1期8卷 24-27页

作者：赵德勤刘曾荣 Shanghai Institute of Applied Mathematics and Mechanics Shanghai University SHanghai 200072 China Department of Mathematics College of Sciences Shanghai University Shanghai 200436 China

Active control is an effective method for synchronizing two identical chaotic systems. However, this method works only for a certain class of chaotic systems with known parameters. An improvement method was proposed in order to overcome this limitation in this paper. A classical example was used to demonstrate the method. Finally, numerical examples were given to validate the efficiency of the method.

关键词： lag synchronization adaptive control chaotic systems.

Chaotic lag synchronization of a Class of Inertial Neural Networks with Unbounded Distributed Delays

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Chaotic Lag Synchronization of a Class of Inertial Neural Ne...

Influence of the time delay of signal transmission on synchronization conditions in drive-response systems

第32届中国控制与决策会议

作者： Changqing Long Guodong Zhang School of Mathematics and Statistics South-Central University For Nationalities

This article investigates the chaotic exponential lag synchronization of a class of inertial neural networks（INNs） with unbounded distributed delays. Firstly, the second-order INNs is transformed into the first-order differential equation through a suitable variable transformation. Secondly, the sufficient exponential lag synchronization conditions are established for INNs with unbounded distributed delays via the feedback control theory and Lyapunov stability *** last, the feasibility of the derived results are illustrated by numerical examples.

关键词： lag synchronization Inertial neural networks Unbounded distributed delays Lyapunov stability theory

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Theoretical & Applied Mechanics Letters 2013年第6期3卷 25-28页

作者： Bin Zhen Jian Xu College of Hydraulic and Environmental Engineering China Three Gorges University School of Aerospace and Mechanics Engineering Tongji University

Conditions for complete and lag synchronizations in drive-response systems are considered under the unified framework of generalized synchronization. The question is addressed that whether the synchronization conditions achieving complete synchronization is still valid for lag synchronization when the time delay of signal transmission between the drive and response systems increases from 0. Theoretical and numerical results show that whether the synchronization conditions is stable for the influence of the time delay of signal transmission depends on a particular form of equilibria of the drive and response systems. Furthermore, it seems that the less the number of the equilibria of the drive system, the more likely the synchronization conditions are stable for the time delay of signal trans- mission.

关键词： drive-response systems time delay lag synchronization generalized synchronization