Improved delay-dependent stability criteria for neutral Hopfield neural networks

Minglei Zang; Linyao Wu; Qiuye She; Zhongyi Chu

doi:10.1117/12.806735

13 October 2008 Improved delay-dependent stability criteria for neutral Hopfield neural networks

Minglei Zang, Linyao Wu, Qiuye She, Zhongyi Chu

Proceedings Volume 7128, Seventh International Symposium on Instrumentation and Control Technology: Measurement Theory and Systems and Aeronautical Equipment; 71281R (2008) https://doi.org/10.1117/12.806735
Event: Seventh International Symposium on Instrumentation and Control Technology, 2008, Beijing, China

Abstract

The neutral Hopfield neural network (NHNN) model is considered in this paper, which can be regarded as an extension of the classical Hopfield neural network (HNN). By introducing the neutral term into the classical HNN model, the inspiration and associate memory phenomenon can be well described and explained. Based on LMI techniques, the delay-dependent stability criteria of NHNN are obtained using the free-weighting matrices method, where the free weighting matrices are applied to express the relationships between the terms in the Leibniz-Newton formula. The optimization on the free weighting matrices by means of solving linear matrix inequalities (LMIs) can be employed such that the less conservative results can be obtained than that in Zhang, et al 2005. The numerical examples demonstrate that the proposed stability criterion is less conservative than the previous works.

Citation Download Citation

Minglei Zang, Linyao Wu, Qiuye She, and Zhongyi Chu "Improved delay-dependent stability criteria for neutral Hopfield neural networks", Proc. SPIE 7128, Seventh International Symposium on Instrumentation and Control Technology: Measurement Theory and Systems and Aeronautical Equipment, 71281R (13 October 2008); https://doi.org/10.1117/12.806735

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available