New Delay-Dependent Exponential Stability Criteria for Neural Networks with Mixed Time-Varying Delays
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-09-16
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
This study is concerned with the problem of new delay-dependent exponential stability criteria for neural networks (NNs) with mixed time-varying delays via introducing a novel integral inequality approach.
Specifically, first, by taking fully the relationship between the terms in the Leibniz-Newton formula into account, several improved delay-dependent exponential stability criteria are obtained in terms of linear matrix inequalities (LMIs).
Second, together with some effective mathematical techniques and a convex optimization approach, less conservative conditions are derived by constructing an appropriate Lyapunov-Krasovskii functional (LKF).
Third, the proposed methods include the least numbers of decision variables while keeping the validity of the obtained results.
Finally, three numerical examples with simulations are presented to illustrate the validity and advantages of the theoretical results.
American Psychological Association (APA)
Wen, Wu& Shi, Kaibo. 2015. New Delay-Dependent Exponential Stability Criteria for Neural Networks with Mixed Time-Varying Delays. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1074676
Modern Language Association (MLA)
Wen, Wu& Shi, Kaibo. New Delay-Dependent Exponential Stability Criteria for Neural Networks with Mixed Time-Varying Delays. Mathematical Problems in Engineering No. 2015 (2015), pp.1-16.
https://search.emarefa.net/detail/BIM-1074676
American Medical Association (AMA)
Wen, Wu& Shi, Kaibo. New Delay-Dependent Exponential Stability Criteria for Neural Networks with Mixed Time-Varying Delays. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-16.
https://search.emarefa.net/detail/BIM-1074676
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074676