General 9-instant discrete-time Zhang neural network for time-dependent applications |
| |
| Institution: | 1. School of Computer Science and Engineering, Sun Yat-sen University, Guangzhou 510006, China;2. Guangdong Key Laboratory of Modern Control Technology, Guangzhou 510070, China;3. Key Laboratory of Machine Intelligence and Advanced Computing, Ministry of Education, Guangzhou 510006, China;1. School of Aerospace Science and Technology, Xidian University, Xi’an 710071, PR China;2. School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, PR China;1. Department of Mathematics, City University of Hong Kong, Hong Kong, PR China;2. College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074, P.R. China;1. School of Mathematics and Statistics & FJKLMAA, Fujian Normal University, Fuzhou 350117, PR China;2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, PR China;1. Department of Mathematics, Northeastern University, Shenyang, Liaoning 110004, China;2. School of Mechanical Engineering and Automation, Harbin Institute of Technology (Shenzhen), Shenzhen, China;3. Station for Drug and Instrument Control of Shenyang Joint Logistics Support Center, Shenyang, Liaoning, China |
| |
| Abstract: | Zhang neural network (ZNN) is widely applied to solving time-dependent problems. For the sake of the implementation on the digital hardware platform, ZNN models need to be discretized. In this paper, as a further study of Zhang et al. discretization (ZeaD) formulas, a novel general 9-instant ZeaD formula is presented, and clear constraints are firstly given with proof. To evaluate the presented 9-instant ZeaD formula, three continuous-time models for time-dependent matrix inversion and pseudoinversion are presented with the help of Getz-Marsden dynamic system (GMDS) and ZNN. Then the corresponding discrete-time models are obtained by using the 9-instant ZeaD formula. According to the comparison experiments, the 9-instant ZeaD formula is substantiated to be effective and consistent with the theory. Furthermore, the problem of mobile angle-of-arrival (AoA) localization is investigated as a more specific and practical problem. In order to overcome the singularity problem of the tangent function in the representation of the AoA localization system, a new representation with sine and cosine functions is presented. Similarly, the continuous-time model is derived and discretized. Through comparison experiments, the discrete-time model obtained by the 9-instant ZeaD formula achieves desirable results, which further show the efficacy of the 9-instant ZeaD formula. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
