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hybrid synchronization of Fractional-Order Complex Networks Model via Fractional Order Controller

Journal of Harbin Institute of Technology(New Series) 2018年第4期25卷 89-96页

作者： Dawei Ding Nana Kong Nian Wang Dong Liang School of Electronics and Information Engineering Anhui University

For the purpose of investigating two complex networks' hybrid synchronization,a controller with fractional-order is *** hybrid synchronization which includes the outer synchronization and inner synchronization,some hybrid synchronization's sufficient conditions according to the Lyapunov stability theorem and the LaSalle invariance principle are *** analysis suggests that,only when the state of driving-response networks is outer synchronization and each network is in inner synchronization,two coupled networks' hybrid synchronization under some suitable conditions could be ***,theoretical results are illustrated and validated with the given numerical simulations.

关键词： hybrid synchronization complex network fractional-order controller Lyapunov stabilitytheorem LaSalle invariance principle

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A new kind of nonlinear fractional-order chaotic phenomenon in coupled systems： coexistence of anti-phase and complete synchronization

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Chinese Physics B 2011年第8期20卷 90-96页

作者： Zhang Jun-Feng Pei Qiu-Yu Zhang Xiao-Li Department of Computer Science and Engineering Henan University of Urban Construction Pingdingshan 467036 China The Aeronautical Science Key Laboratory for Smart Material and Structures Nanjing University of Aeronautics and Astronautics Nanjing 210016 China

In this paper, we have found a kind of interesting nonlinear phenomenon hybrid synchronization in linearly coupled fractional-order chaotic systems. This new synchronization mechanism, i.e., part of state variables are anti- phase synchronized and part completely synchronized, can be achieved using a single linear controller with only one drive variable. Based on the stability theory of the fractional-order system, we investigated the possible existence of this new synchronization mechanism. Moreover, a helpful theorem, serving as a determinant for the gain of the controller, is also presented. Solutions of coupled systems are obtained numerically by an improved Adams Bashforth-Moulton algorithm. To support our theoretical analysis, simulation results are given.

关键词： fractional-order unified chaotic system hybrid synchronization linear controller singledrive variable

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synchronization Phenomena Investigation of a New Nonlinear Dynamical System 4D by Gardano’s and Lyapunov’s Methods

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Computers, Materials & Continua 2021年第3期66卷 3311-3327页

作者： Abdulsattar Abdullah Hamad Ahmed S.Al-Obeidi Enas H.Al-Taiy Osamah Ibrahim Khalaf Dac-Nhuong Le School of Mathematics Madurai Kamaraj UniversityMadurai625021India Specialty of Mathematics Gifted School of NinevehMosulIraq Al-Nahrain University Baghdad70030Iraq Institute of Research and Development Duy Tan UniversityDanang550000Vietnam Faculty of Information Technology Duy Tan UniversityDanang550000Vietnam

synchronization is one of the most important characteristics of dynamic *** this paper,the authors obtained results for the nonlinear systems controller for the custom synchronization of two 4D *** findings have allowed authors to develop two analytical approaches using the second Lyapunov(Lyp)method and the *** the Gardano method does not involve the development of special positive Lyp functions,it is very efficient and convenient to achieve excessive systemSYCR *** is overcome by using Gardano and overcoming some problems in *** we get a great investigation into the convergence of error dynamics,the authors in this paper are interested in giving numerical simulations of the proposed model to clarify the results and check them,an important aspect that will be studied is synchronization Complete hybrid SYCR and anti-synchronization,by making use of the Lyapunov expansion analysis,a proposed control method is developed to determine the *** basic idea in the proposed way is to receive the evolution of between two ***,the present model has been applied and showing in a new attractor,and the obtained results are compared with other approximate results,and the nearly good coincidence was obtained.

关键词： Chaos Lu model anti-synchronization hybrid synchronization Gardano’s method nonlinear dynamical system

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Anti-synchronization of Four-wing Chaotic Systems via Sliding Mode Control

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International Journal of Automation and computing 2012年第3期9卷 274-279页

作者： Sundarapandian Vaidyanathan Sivaperumal Sampath Vel Tech Dr. RR & Dr. SR Technical University Faculty of Technology CMJ University

Sliding mode control is an important method used in nonlinear control systems. In robust control systems, the sliding mode control is often adopted due to its inherent advantages of easy realization, fast response and good transient performance as well as its insensitivity to parameter uncertainties and disturbances. In this paper, we derive new results based on the sliding mode control for the anti-synchronization of identical Qi three-dimensional (3D) four-wing chaotic systems (2008) and identical Liu 3D four-wing chaotic systems (2009). The stability results for the anti-synchronization schemes derived in this paper using sliding mode control (SMC) are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the SMC method is very effective and convenient to achieve global chaos anti-synchronization of the identical Qi four-wing chaotic systems and identical Liu four-wing chaotic systems. Numerical simulations are shown to illustrate and validate the synchronization schemes derived in this paper.

关键词： hybrid synchronization chaos sliding control Qi four-wing chaotic system Liu four-wing chaotic system

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