Synchronization for a class of complex dynamical networks with time-delay |
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| Authors: | Shiyun Xu Ying Yang |
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| Institution: | 1. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 712-749, Republic of Korea;2. Department of Mathematics, Sungkyunkwan University, Suwon-440 746, Republic of Korea;1. School of Information Science and Engineering, Northeastern University, Shenyang, Liaoning 110819, PR China;2. School of Mechatronics Engineering of University of Electronic Science and Technology of Chengdu, Sichuan, PR China;1. Department of Mathematics, Bharathiar University, Coimbatore 641 046, Tamilnadu, India;2. Department of Electrical Engineering, Yeungnam University, 214-1 Dae-dong, Kyongsan 712-749, Republic of Korea;3. School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Cheongju 361-763, Republic of Korea;1. Department of Mathematics, Chongqing Normal University, Chongqing 401331, China;2. College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, China;3. Department of Mathematics, Southeast University, Nanjing 210096, China |
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| Abstract: | In this study, the synchronization problem is addressed for a class of complex dynamical networks in which every identical node is a time-delayed Lur’e system. Delay-dependent and delay-independent synchronization criteria are established through a decoupling technique, which reduces a group of high-dimensional linear matrix inequalities (LMIs) to the test of two groups of lower-dimensional LMIs. An extension to the synchronization of discrete-time Lur’e networks with time delay is also studied. The efficiency and applicability of the proposed methodology is demonstrated by a numerical example through simulation. |
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