Novel Delay-Dependent Stability Criteria for Discrete-Time Neural Networks with Time-Varying Delay
Joint Authors
Stojanovic, Sreten B.
Stojanovic, Milan
Stevanovic, Milos
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-06
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The delay-dependent stability problem is investigated for discrete-time neural networks with time-varying delays.
A new augmented Lyapunov-Krasovskii functional (LKF) with single and double summation terms and several augmented vectors is proposed by decomposing the time-delay interval into two nonequidistant subintervals to derive less conservative stability conditions.
Then, by using Wirtinger-based inequality, reciprocally, and extended reciprocally convex combination lemmas, tight estimations for sum terms in the forward difference of the LKF are given.
Several zero equalities are introduced to further relax the existing results.
Less conservative stability criteria are proposed in terms of linear matrix inequalities (LMIs).
Finally, numerical examples are proposed to show the effectiveness and less conservativeness of the proposed method.
American Psychological Association (APA)
Stojanovic, Sreten B.& Stojanovic, Milan& Stevanovic, Milos. 2018. Novel Delay-Dependent Stability Criteria for Discrete-Time Neural Networks with Time-Varying Delay. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1207945
Modern Language Association (MLA)
Stojanovic, Sreten B.…[et al.]. Novel Delay-Dependent Stability Criteria for Discrete-Time Neural Networks with Time-Varying Delay. Mathematical Problems in Engineering No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1207945
American Medical Association (AMA)
Stojanovic, Sreten B.& Stojanovic, Milan& Stevanovic, Milos. Novel Delay-Dependent Stability Criteria for Discrete-Time Neural Networks with Time-Varying Delay. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1207945
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207945