Synchronization of complex dynamical networks with time delays |
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| Affiliation: | 1. Department of Applied Mathematics, Bharathiar University, Coimbatore 641046, India;2. School of Mathematics and Statistics, Anhui Normal University, Wuhu, Anhui 241000, PR China;3. MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, Hunan 410081, PR China;1. School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan 243002, China;2. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China;3. School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, China;4. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China;1. College of Automation, Harbin Engineering University, Heilongjiang 150001, China;2. School of Electrical and Electronic Engineering, The University of Adelaide, SA 5005, Australia;3. College of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China |
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| Abstract: | In the present paper, two kinds of dynamical complex networks are considered. The first is that elements of every node have different time delays but all nodes in such networks have the same time-delay vector. The second is that different nodes have different time-delay vectors, and the elements of each node also have different time delays. Corresponding synchronization theorems are established. Numerical examples show the efficiency of the derived theorems. |
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