Complex-Valued Neural Networks Systems with Time Delay

Ziye Zhang received the B.Sc. degree in mathematics from Yantai University, Yantai, China, in 2002, the M.Sc. degree in mathematics from Lanzhou University, Lanzhou, China, in 2005, and the Ph.D. degree from the Institute of Complexity Science, Qingdao University, Qingdao, China, in 2015. She is currently Associate Professor with the College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China. Her current research interests include systems analysis, fuzzy control, filter design, and neural networks. Zhen Wang is currently Professor at College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, China. He received Ph.D. degree from School of Automation, Nanjing University of Science and Technology, China, in 2013. Jian Chen is Associate Professor at School of information and Control Engineering, Qingdao University of Technology, Qingdao, China. She received her Ph.D. degree from Institute of Complexity Science, Qingdao University, in 2017. Her research interest includes systems analysis and control. Chong Lin is Professor at Institute of Complexity Science, Qingdao University, China. He received Ph.D. from School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, in 1999.

1. Introduction.- 2. Stability Analysis of Delayed Complex-Valued Neural Networks Systems.- 3. Further Behavior Analysis about Stability and Hopf Bifurcation.- 4. Stability Analysis Based on Nonlinear Measure Approach.- 5. Lagrange Exponential Stability for Delayed Complex-Valued Neural Networks Systems .- 6. Synchronization Control: Nonseparable Case.- 7. Anti-Synchronization Control: Nonseparable Case.- 8. Anti-Synchronization Control: Separable Case.- 9. Finite/Fixed-Time Synchronization Control.- 10. Fixed-Time Pinning Synchronization and Adaptive Synchronization.