Zhang Time Discretization (ZTD) Formulas and Applications

Yunong Zhang, PH.D., earned his B.S. degree from Huazhong University of Science and Technology, Wuhan, China, in 1996, his M.S. degree from South China University of Technology, Guangzhou, China, in 1999, and his Ph.D. from the Chinese University of Hong Kong, Shatin, Hong Kong, China, in 2003. He is currently a professor at the School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou, China. Dr. Zhang was supported by the Program for New Century Excellent Talents in Universities in 2007. He received the Best Paper Award from the International Symposium on Systems and Control in Aeronautics and Astronautics (ISSCAA) in 2008 and the Best Paper Award from the International Conference on Automation and Logistics (ICAL) in 2011. He was among the Highly Cited Scholars of China selected and published by Elsevier from 2014 to 2022.Jinjin Guo, Ph.D., earned her B.E. degree in measurement technology and instrument from Nanchang University, Nanchang, China, in 2016, her M.E. degree in control engineering from Sun Yat-sen University, Guangzhou, China, in 2018, and her Ph.D. in computer science and technology from Sun Yat-sen University, Guangzhou, China, in 2022. She is currently a lecturer at the School of Computer Science, Guangdong Polytechnic Normal University, Guangzhou, China. Her main research interests include neural networks, numerical computation, and tracking control.

• 1 Future Matrix Right Pseudoinversion 2 Future Equality-Constrained Quadratic Programming 3 Future Matrix Inversion With Noises 4 Future Matrix Pseudoinversion 5 Future Constrained Nonlinear Optimization With O(g3) 6 Future Unconstrained Nonlinear Optimization With O(g4) 7 Future Different-Layer Inequation-Equation System Solving With O(g5) 8 Future Matrix Square Root Finding With O(g6) 9 Tracking Control of Serial and Parallel Manipulators 10 Future Matrix Inversion with Sometimes-Singular Coefficient Matrix 11 Repetitive Motion Control of Redundant Manipulators 12 Future Different-Layer Equation System Solving 13 Future Matrix Equations Solving 14 Minimum Joint Motion Control of Redundant Manipulators 15 Euler-Precision General Formula of ZTD 16 Lagrange Numerical-Differentiation Formulas

``For those interested in exploring and handling the intricacies of discrete time-dependent problems, this book may offer a comprehensive and thought-provoking journey. It perhaps deserves serious and much consideration from academics and researchers in the fields.''Professor Zibin Zheng, IEEE Fellow, Sun Yat-sen University, China``The book is appealing for graduate students as well as academic and industrial researchers. Based on the systematic research of new effective time-discretization formulas, the book may generate curiosity and also happiness to its readers for learning more in the fields and researches.''Professor Shuai Li, University of Oulu, Finland