Mean-square pinning control of fractional stochastic discrete-time complex networks |
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| Institution: | 1. School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China;2. School of Automation, Beijing Institute of Technology, Beijing 100081, China;3. School of Mechatronical Engineering, Beijing Institute of Technology, Beijing 100081, China;1. Centro Universitario de la Ciénega, Universidad de Guadalajara Av. Universidad No. 1115, Col. Lindavista, Ocotlán 47820, Jalisco, México;2. Department of Information Engineering, Computer Science and Mathematics, University of L’Aquila, Via Vetoio, Loc. Coppito, L’Aquila 67100, Italy;3. Center of Excellence DEWS, University of L’Aquila Via Vetoio, Loc. Coppito, L’Aquila 67100, Italy;4. Quartz Laboratory EA 7393, ENSEA 6 Avenue du Ponçeau, Cergy Pontoise Cedex 95014, France;5. LS2N UMR 6004 CNRS, École Centrale Nantes France;1. School of Computer and Control Engineering, Yantai University, Yantai, Shandong 264005, China;2. Department of Mathematics, Harbin Institute of Technology, Weihai 264209, China;3. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan 38541, Republic of Korea;4. School of Control Science and Engineering, Dalian University of Technology, Dalian 116024, China;5. School of Mathematics and Information Sciences, Weifang University, Weifang, Shandong 261061, China;1. The Institute of Artificial Intelligence, and School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China;2. Artificial Intelligence in Robotics Laboratory (AiR Lab), Department of Electrical and Computer Engineering, Aarhus University, Aarhus C 8000, Denmark;1. Zhejiang University of Technology, Zhengzhou, China;2. Pontifical Catholic University of Rio de Janeiro (PUC-Rio), Brazil;3. Communications Group, Department of Electronic Engineering, University of York, United Kingdom;1. Research Center for Complex Networks & Swarm Intelligence, School of Computer Science & Technology, Jiangsu Normal University, Xuzhou 221116, China;2. School of Mathematics, Southeast University, Nanjing 210096, China;3. Yonsei Frontier Lab, Yonsei University, Seoul 03722, South Korea |
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| Abstract: | This paper considers the mean-square pinning control problem of fractional stochastic discrete-time complex networks. First, a new fractional stochastic discrete-time complex networks model with stochastic noise is established. Then, some pinning controllers and sufficient conditions are developed for the complex networks. By adopting Lyapunov energy function theory and matrix analysis theory, it proved that the synchronization of the fractional stochastic discrete-time complex networks can be achieved in a mean-square sense via pinning control. In addition, these results are extended to solve the synchronization problem of general fractional discrete-time complex networks without noise. Finally, several numerical examples are given to verify the correctness of the obtained theoretical results. |
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