Delay-Dependent State Estimation of Static Neural Networks with Time-Varying and Distributed Delays
Joint Authors
Shao, Lei
Zhao, Heming
Huang, He
Huang, Tingwen
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-29
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper focuses on studying the state estimation problem of static neural networks with time-varying and distributed delays.
By constructing a suitable Lyapunov functional and employing twointegral inequalities, a sufficient condition is obtained under which the estimation error system is globally asymptotically stable.
It can be seen that this condition is dependent on the two kinds of time delays.
To reduce the conservatism of the derived result, Wirtinger inequality is employed to handle a cross term in the time-derivative of Lyapunov functional.
It is further shown that the design of the gain matrix of state estimator is transformed to finding a feasible solution of a linear matrix inequality, which is efficiently facilitated by available algorithms.
A numerical example is explored to demonstrate the effectiveness of the developed result.
American Psychological Association (APA)
Shao, Lei& Huang, He& Zhao, Heming& Huang, Tingwen. 2014. Delay-Dependent State Estimation of Static Neural Networks with Time-Varying and Distributed Delays. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1046562
Modern Language Association (MLA)
Shao, Lei…[et al.]. Delay-Dependent State Estimation of Static Neural Networks with Time-Varying and Distributed Delays. Mathematical Problems in Engineering No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1046562
American Medical Association (AMA)
Shao, Lei& Huang, He& Zhao, Heming& Huang, Tingwen. Delay-Dependent State Estimation of Static Neural Networks with Time-Varying and Distributed Delays. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1046562
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1046562