Title :
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
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;
Journal_Title :
Neural Networks and Learning Systems, IEEE Transactions on
DOI :
10.1109/TNNLS.2013.2264106