Function projective synchronization between integer-order and stochastic fractional-order nonlinear systems |
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| Affiliation: | 1. College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi 435002, PR China;2. College of Automation, Huazhong University of Science and Technology, Wuhan 430074, PR China;3. School of Electronic Information and Communications, Huazhong University of Science and Technology, Wuhan 430074, PR China;4. School of Information Science and Engineering, East China University of Science and Technology, Shanghai 200237, PR China;1. College of Information Engineering, Zhejiang University of Technology, Hangzhou 310023, China;2. Zhejiang Provincial Key Laboratory of Communication networks and applications, Hangzhou 310023, China;1. College of Information Science and Technology, Donghua University, Shanghai, PR China;2. College of Information Engenering, Nanjing University of Finance and Economics, Nanjing, Jiangsu, PR China;3. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing,Jiangsu, PR China;1. College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi 435002, China;2. Key Laboratory of Advanced Control and Optimization for Chemical Processes of Ministry of Education, East China University of Science and Technology, Shanghai 200237, China;3. School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, China |
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| Abstract: | In this paper, the function projective synchronization between integer-order and stochastic fractional-order nonlinear systems is investigated. Firstly, according to the stability theory of fractional-order systems and tracking control, a controller is designed. At the same time, based on the orthogonal polynomial approximation, the method of transforming stochastic error system into an equivalent deterministic system is given. Thus, the stability of the stochastic error system can be analyzed through its equivalent deterministic one. Finally, to demonstrate the effectiveness of the proposed scheme, the function projective synchronization between integer-order Lorenz system and stochastic fractional-order Chen system is studied. |
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| Keywords: | Function projective synchronization Integer-order nonlinear system Stochastic fractional-order nonlinear system |
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