New Algebraic Criteria for Synchronization Stability of Chaotic Memristive Neural Networks With Time-Varying Delays

Author

Guodong Zhang ; Yi Shen

Author_Institution

Key Lab. of Image Process. & Intell. Control of Educ. Minist. of China, Huazhong Univ. of Sci. & Technol., Wuhan, China

Volume

24

Issue

10

fYear

2013

fDate

Oct. 2013

Firstpage

1701

Lastpage

1707

Abstract

In this brief, we consider the exponential synchronization of chaotic memristive neural networks with time-varying delays using the Lyapunov functional method and inequality technique. The dynamic analysis here employs the theory of differential equations with discontinuous right-hand side as introduced by Filippov. The designing laws in the synchronization of neural networks are proposed via state or output coupling. In addition, the new proposed algebraic criteria are very easy to verify, and they also enrich and improve the earlier publications. Finally, an example is given to show the effectiveness of the obtained results.

Keywords

Lyapunov methods; delays; differential equations; neurocontrollers; stability; synchronisation; time-varying systems; Filippov; Lyapunov functional method; algebraic criteria; chaotic memristive neural networks; differential equations; discontinuous right hand side; dynamic analysis; exponential synchronization; inequality technique; output coupling; synchronization stability; time varying delays; Exponential synchronization; memristor; neural networks; time delay;

fLanguage

English

Journal_Title

Neural Networks and Learning Systems, IEEE Transactions on

Publisher

ieee

ISSN

2162-237X

Type

jour

DOI

10.1109/TNNLS.2013.2264106

Filename

6531671