Global exponential stability and lag synchronization for delayed memristive fuzzy Cohen-Grossberg BAM neural networks with impulses

Wengui Yang; Wenwu Yu; Jinde Cao; Fuad E Alsaadi; Tasawar Hayat

doi:10.1016/j.neunet.2017.11.001

Global exponential stability and lag synchronization for delayed memristive fuzzy Cohen-Grossberg BAM neural networks with impulses

Neural Netw. 2018 Feb:98:122-153. doi: 10.1016/j.neunet.2017.11.001. Epub 2017 Nov 23.

Authors

Wengui Yang¹, Wenwu Yu², Jinde Cao³, Fuad E Alsaadi⁴, Tasawar Hayat⁵

Affiliations

¹ School of Mathematics, Southeast University, Nanjing 210096, China. Electronic address: wgyang0617@yahoo.com.
² School of Mathematics, Southeast University, Nanjing 210096, China; NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia. Electronic address: wwyu@seu.edu.cn.
³ School of Mathematics, Southeast University, Nanjing 210096, China; School of Mathematics and Statistics, Shandong Normal University, Ji'nan 250014, Shandong, China. Electronic address: jdcao@seu.edu.cn.
⁴ Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia. Electronic address: fuad_alsaadi@yahoo.com.
⁵ Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan. Electronic address: tahaksag@yahoo.com.

PMID: 29227961
DOI: 10.1016/j.neunet.2017.11.001

Abstract

This paper investigates the stability and lag synchronization for memristor-based fuzzy Cohen-Grossberg bidirectional associative memory (BAM) neural networks with mixed delays (asynchronous time delays and continuously distributed delays) and impulses. By applying the inequality analysis technique, homeomorphism theory and some suitable Lyapunov-Krasovskii functionals, some new sufficient conditions for the uniqueness and global exponential stability of equilibrium point are established. Furthermore, we obtain several sufficient criteria concerning globally exponential lag synchronization for the proposed system based on the framework of Filippov solution, differential inclusion theory and control theory. In addition, some examples with numerical simulations are given to illustrate the feasibility and validity of obtained results.

Keywords: Cohen–Grossberg BAM neural networks; Fuzzy cellular neural networks; Global exponential stability; Globally exponential lag synchronization; Impulses; Memristive neural networks.

MeSH terms

Algorithms*
Fuzzy Logic*
Neural Networks, Computer*
Time Factors