Impulsive synchronization of general continuous and discrete-time complex dynamical networks |
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| Institution: | 1. Department of Mechanical Engineering, Politecnico di Milano, Italy;2. School of Automation, Nanjing University of Science and Technology, People''s Republic of China;3. The Adelaide University, Australia;4. Concordia University, Canada;1. Department of Applied Mathematics, Bharathiar University, Coimbatore Tamil Nadu 641046, India;2. Department of Mathematics, Sungkyunkwan University, Suwon 440 746, South Korea;3. Department of Mathematics, Anna University Regional Campus, Coimbatore, Tamil Nadu 641046, India;4. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
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| Abstract: | This paper mainly investigates the impulsive synchronization of a general complex continuous and discrete-time dynamical network. Firstly, for the continuous complex networks, we give a sufficient condition to guarantee its synchronization. When the sufficient condition is not satisfied, the impulsive controllers are utilized, and some novel criteria are derived to guarantee the network synchronization in this case. What is more significant is that the similar work is extended to the discrete-time networks model. Finally, the results are, respectively, illustrated by a continuous network composed with the chaotic Chen oscillators and a discrete-time network consisting of Hénon map. All numerical simulations verify the effectiveness of the theoretical analysis. |
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