Observer-based lag synchronization between two different complex networks |
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| Institution: | 1. University of Central Florida, Department of Mathematics, 4000 Central Florida Blvd., Orlando, USA;2. University of Palermo, Department of Mathematics and Computer Science, Via Archirafi 34, 90123 Palermo, Italy;1. School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, PR China;2. School of Energy and Engineering, Dalian University of Technology, Dalian, Liaoning 116024, PR China;3. School of Environmental and Biological Science and Technology, Dalian University of Technology, Dalian, Liaoning 116012, PR China;1. Department of Electrical Engineering, Indian Institute of Technology, Kharagpur 721302, India;2. Advanced Technological Development Centre, Indian Institute of Technology, Kharagpur 721302, India;1. Faculty of Applied Mathematics, AGH University of Science and Technology, Mickiewicz Avenue 30, 30059 Kraków, Poland;2. Mathematical Institute, Silesian University in Opava, Na Rybní?ku 1, 74601 Opava, Czech Republic;3. Subbotin Institute for Geophysics of NAS of Ukraine, Palladin Avenue 32, 03142 Kyiv, Ukraine |
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| Abstract: | In this paper, some new criteria for lag synchronization between two or more complex networks are proposed based on the theory of state observer. Some adaptive controllers are designed to make the drive and response systems achieve lag synchronization, no matter whether the nodes in the two systems are with the same dynamical character or the coupling configuration matrices are nonidentical. In addition, based on the output coupling, the amount of coupling variables between two connected nodes is flexible, which can save a lot of channel resources, simplify the network topology and has more significant meanings in engineering applications. At last, the effects of the lag synchronization criteria are verified through some simulation experiments. |
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| Keywords: | Complex networks Lag synchronization Output coupling Adaptive control |
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