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Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-06
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The global exponential stability is investigated for genetic regulatory networks with time-varying delays and continuous distributed delays.
By choosing an appropriate Lyapunov-Krasovskii functional, new conditions of delay-dependent stability are obtained in the form of linear matrix inequality (LMI).
The lower bound of derivatives of time-varying delay is first taken into account in genetic networks stability analysis, and the main results with less conservatism are established by interactive convex combination method to estimate the upper bound of derivative function of the Lyapunov-Krasovskii functional.
In addition, two numerical examples are provided to illustrate the effectiveness of the theoretical results.
American Psychological Association (APA)
Yin, Lizi& Liu, Yun-Gang. 2014. Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1015016
Modern Language Association (MLA)
Yin, Lizi& Liu, Yun-Gang. Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1015016
American Medical Association (AMA)
Yin, Lizi& Liu, Yun-Gang. Exponential Stability Analysis for Genetic Regulatory Networks with Both Time-Varying and Continuous Distributed Delays. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1015016
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015016