Global exponential stability of neural networks with discrete and distributed delays and general activation functions on time scales |
| |
Authors: | Bo ZhouAuthor VitaeQiankun SongAuthor Vitae Huiwei WangAuthor Vitae |
| |
Affiliation: | a College of Information Science & Engineering, Chongqing Jiaotong University, Chongqing 400074, PR China b Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, PR China |
| |
Abstract: | By employing time scale calculus theory, free weighting matrix method and linear matrix inequality (LMI) approach, several delay-dependent sufficient conditions are obtained to ensure the existence, uniqueness and global exponential stability of the equilibrium point for the neural networks with both infinite distributed delays and general activation functions on time scales. Both continuous-time and discrete-time neural networks are described under the same framework by the reported method. Illustrated numerical examples are given to show the effectiveness of the theoretical analysis. It is noteworthy that the activation functions are assumed to be neither bounded nor monotone. |
| |
Keywords: | Neural networks Global exponential stability Time-varying delays Distributed delays Linear matrix inequality (LMI) Time scales |
本文献已被 ScienceDirect 等数据库收录! |