The Experts below are selected from a list of 60222 Experts worldwide ranked by ideXlab platform
Xiangyong Chen - One of the best experts on this subject based on the ideXlab platform.
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adaptive synchronization of multiple uncertain coupled Chaotic Systems via sliding mode control
Neurocomputing, 2018Co-Authors: Ju H. Park, Jinde Cao, Xiangyong Chen, Jianlong QiuAbstract:Abstract This paper mainly investigates two kinds of sliding mode synchronization (SMS) for multiple Chaotic Systems with unknown parameters and disturbances. Both multiple coupled Systems and uncoupled Systems are considered. For multiple uncoupled Chaotic Systems (MUCSs), the sliding mode control scheme is designed to ensure that multiple response Systems synchronize with one drive system under the effects of external disturbances, and the appropriate adaptive laws are proposed to estimate unknown parameters. For multiple coupled Chaotic Systems (MCCSs), the definition of transmission synchronization is given first. Furthermore, a special integral sliding surfaces is selected, and the corresponding controllers with the compensation terms are developed to realize SMS between every drive Chaotic system and every respond system in transmission mode. Finally, some numerical examples are presented to illustrate the validity of theoretical results.
Jianlong Qiu - One of the best experts on this subject based on the ideXlab platform.
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adaptive synchronization of multiple uncertain coupled Chaotic Systems via sliding mode control
Neurocomputing, 2018Co-Authors: Ju H. Park, Jinde Cao, Xiangyong Chen, Jianlong QiuAbstract:Abstract This paper mainly investigates two kinds of sliding mode synchronization (SMS) for multiple Chaotic Systems with unknown parameters and disturbances. Both multiple coupled Systems and uncoupled Systems are considered. For multiple uncoupled Chaotic Systems (MUCSs), the sliding mode control scheme is designed to ensure that multiple response Systems synchronize with one drive system under the effects of external disturbances, and the appropriate adaptive laws are proposed to estimate unknown parameters. For multiple coupled Chaotic Systems (MCCSs), the definition of transmission synchronization is given first. Furthermore, a special integral sliding surfaces is selected, and the corresponding controllers with the compensation terms are developed to realize SMS between every drive Chaotic system and every respond system in transmission mode. Finally, some numerical examples are presented to illustrate the validity of theoretical results.
Runfan Zhang - One of the best experts on this subject based on the ideXlab platform.
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control of a class of fractional order Chaotic Systems via sliding mode
Nonlinear Dynamics, 2012Co-Authors: Diyi Chen, Yuxiao Liu, Runfan ZhangAbstract:This paper investigates the chaos control of a class of fractional-order Chaotic Systems via sliding mode. First, the sliding mode control law is derived to make the states of the fractional-order Chaotic Systems asymptotically stable. Second, the designed control scheme guarantees asymptotical stability of the uncertain fractional-order Chaotic Systems in the presence of an external disturbance. Finally, simulation results are given to demonstrate the effectiveness of the proposed sliding mode control method.
Zhou Ping - One of the best experts on this subject based on the ideXlab platform.
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Function projective synchronization between fractional-order Chaotic Systems and integer-order Chaotic Systems
Chinese Physics B, 2010Co-Authors: Zhou Ping, Cao Yu-xiaAbstract:This paper investigates the function projective synchronization between fractional-order Chaotic Systems and integer-order Chaotic Systems using the stability theory of fractional-order Systems. The function projective synchronization between three-dimensional (3D) integer-order Lorenz Chaotic system and 3D fractional-order Chen Chaotic system are presented to demonstrate the effectiveness of the proposed scheme.
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Synchronization between fractional-order Chaotic Systems and integer orders Chaotic Systems (fractional-order Chaotic Systems)
Chinese Physics B, 2010Co-Authors: Zhou Ping, Cheng Yuan-ming, Kuang FeiAbstract:Based on the idea of tracking control and stability theory of fractional-order Systems, a controller is designed to synchronize the fractional-order Chaotic system with Chaotic Systems of integer orders, and synchronize the different fractional-order Chaotic Systems. The proposed synchronization approach in this paper shows that the synchronization between fractional-order Chaotic Systems and Chaotic Systems of integer orders can be achieved, and the synchronization between different fractional-order Chaotic Systems can also be realized. Numerical experiments show that the present method works very well.
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Synchronization for a class of topologically inequivalent Chaotic Systems
Journal of Chongqing University of Posts and Telecommunications, 2007Co-Authors: Zhou PingAbstract:Using nonlinear Chaotic synchronization theory,the generalized Chaotic synchronization between a class of topologically inequivalent Chaotic Systems is studied.Adding a suitable scalar controller to a class of topologically in- equivalent Chaotic Systems,the Chaotic synchronization between those topologically inequivalent Chaotic Systems can be realized.The method of obtaining the scalar controller from topologically inequivalent Chaotic Systems is presen- ted;at the same time,the sufficient and necessary condition of Chaotic synchronization is obtained.More important- ly,it is proved that the sufficient and necessary condition is independent of the character of Chaotic Systems.
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Observers for a Class of Chaotic Systems
Frontiers of Electrical and Electronic Engineering in China, 2006Co-Authors: Zhou PingAbstract:The design of observers for a class of practical physical Chaotic Systems is discussed. By using only one state variable and its time derivatives, a control law is constructed to achieve the synchronization between the investigated Chaotic Systems and their observers, and the results are proved theoretically. Several observers of Chaotic Systems are designed by using this method.
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Observers for a Class of Discrete Nonlinear Chaotic Systems
Chinese Journal of Computation Physics, 2003Co-Authors: Zhou PingAbstract:The design of observers for a class of discrete Chaotic Systems is discussed.Only using a state variable and its time delays,one can construct a control law to implement the synchronization between the investigated Chaotic Systems and their observers.Simulation results on several wellknown Chaotic Systems show the usefulness of the suggested method.
Jinde Cao - One of the best experts on this subject based on the ideXlab platform.
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adaptive synchronization of multiple uncertain coupled Chaotic Systems via sliding mode control
Neurocomputing, 2018Co-Authors: Ju H. Park, Jinde Cao, Xiangyong Chen, Jianlong QiuAbstract:Abstract This paper mainly investigates two kinds of sliding mode synchronization (SMS) for multiple Chaotic Systems with unknown parameters and disturbances. Both multiple coupled Systems and uncoupled Systems are considered. For multiple uncoupled Chaotic Systems (MUCSs), the sliding mode control scheme is designed to ensure that multiple response Systems synchronize with one drive system under the effects of external disturbances, and the appropriate adaptive laws are proposed to estimate unknown parameters. For multiple coupled Chaotic Systems (MCCSs), the definition of transmission synchronization is given first. Furthermore, a special integral sliding surfaces is selected, and the corresponding controllers with the compensation terms are developed to realize SMS between every drive Chaotic system and every respond system in transmission mode. Finally, some numerical examples are presented to illustrate the validity of theoretical results.
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Synchronization and anti-synchronization for Chaotic Systems
Chaos Solitons & Fractals, 2007Co-Authors: Qiankun Song, Jinde CaoAbstract:Abstract Based on a suitable separation method, combined with the Lyapunov stability and the matrix measure theory, the complete synchronization and anti-synchronization for Chaotic Systems are investigated. Several sufficient conditions and some necessary and sufficient conditions are obtained respectively. It is proved that these criteria not only are easily verified, but also improve and generalize previously known results, since an adjustable non-singular matrix is given. They are of great significance in the design and applications of synchronization and anti-synchronization of Chaotic Systems. Two examples are given to show the effectiveness of the proposed method.