Improved Delay-Dependent Stability Criterion for Genetic Regulatory Networks with Interval Time-Varying Delays via New Lyapunov Functionals
Joint Authors
Boonpikum, Aphirak
Botmart, Thongchai
Weera, Wajaree
Niamsup, Piyapong
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-21
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
In this work, the stability analysis problem of the genetic regulatory networks (GRNs) with interval time-varying delays is presented.
In the previous works, the constructions of Lyapunov functional have usually been in simple Lyapunov functional, augmented Lyapunov functional, and multiple integral Lyapunov functional.
Therefore, we introduce new Lyapunov functionals expressed in terms of delay product functions.
New delay-dependent sufficient conditions for the genetic regulatory networks (GRNs) are established in the terms of linear matrix inequalities (LMIS).
In addition, a numerical example is provided to illustrate the effectiveness of the theoretical results.
American Psychological Association (APA)
Boonpikum, Aphirak& Botmart, Thongchai& Niamsup, Piyapong& Weera, Wajaree. 2020. Improved Delay-Dependent Stability Criterion for Genetic Regulatory Networks with Interval Time-Varying Delays via New Lyapunov Functionals. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-24.
https://search.emarefa.net/detail/BIM-1202359
Modern Language Association (MLA)
Boonpikum, Aphirak…[et al.]. Improved Delay-Dependent Stability Criterion for Genetic Regulatory Networks with Interval Time-Varying Delays via New Lyapunov Functionals. Mathematical Problems in Engineering No. 2020 (2020), pp.1-24.
https://search.emarefa.net/detail/BIM-1202359
American Medical Association (AMA)
Boonpikum, Aphirak& Botmart, Thongchai& Niamsup, Piyapong& Weera, Wajaree. Improved Delay-Dependent Stability Criterion for Genetic Regulatory Networks with Interval Time-Varying Delays via New Lyapunov Functionals. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-24.
https://search.emarefa.net/detail/BIM-1202359
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1202359