DocumentCode
1319873
Title
Exponential Stabilization of Memristive Neural Networks With Time Delays
Author
Ailong Wu ; Zhigang Zeng
Author_Institution
Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China
Volume
23
Issue
12
fYear
2012
Firstpage
1919
Lastpage
1929
Abstract
In this paper, a general class of memristive neural networks with time delays is formulated and studied. Some sufficient conditions in terms of linear matrix inequalities are obtained, in order to achieve exponential stabilization. The result can be applied to the closed-loop control of memristive systems. In particular, several succinct criteria are given to ascertain the exponential stabilization of memristive cellular neural networks. In addition, a simplified and effective algorithm is considered for design of the optimal controller. These conditions are the improvement and extension of the existing results in the literature. Two numerical examples are given to illustrate the theoretical results via computer simulations.
Keywords
asymptotic stability; cellular neural nets; closed loop systems; control system synthesis; delays; linear matrix inequalities; memristors; optimal control; closed loop control; exponential stabilization; linear matrix inequality; memristive cellular neural network; optimal controller design; succinct criteria; sufficient conditions; time delay; Biological neural networks; Cellular neural networks; Linear matrix inequalities; Memristors; Numerical models; Switches; Hybrid systems; memristive neural networks; optimal control; stabilization;
fLanguage
English
Journal_Title
Neural Networks and Learning Systems, IEEE Transactions on
Publisher
ieee
ISSN
2162-237X
Type
jour
DOI
10.1109/TNNLS.2012.2219554
Filename
6332525
Link To Document