Finite-Time Robust Stability of Uncertain Genetic Regulatory Networks with Time-Varying Delays and Reaction-Diffusion Terms
Joint Authors
Dong, Yali
Zhong, Shouming
Wang, Wenqin
Liu, Feng
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-20
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This study seeks to address the finite-time robust stability of delayed genetic regulatory networks (GRNs) with uncertain parameters and reaction-diffusion terms.
We employ an appropriate Lyapunov-Krasovskii functional to derive some less conservative stability criteria for GRNs under Dirichlet boundary conditions, which are delay-dependent, delay-derivative-dependent, and reaction-diffusion-dependent.
The time-varying delays and their derivatives are both bounded with lower and upper bounds, where the lower bound of them can be zero or non-zero.
In addition, we define some new variables to deal with uncertain parameters.
Moreover, Jensen’s integral inequality, Wirtinger-type integral inequality, reciprocally convex combination inequality, Gronwall inequality, and Green formula are employed to handle integral terms.
Finally, a numerical example is presented to illustrate the feasibility and effectiveness of the obtained stability criteria.
American Psychological Association (APA)
Wang, Wenqin& Dong, Yali& Zhong, Shouming& Liu, Feng. 2019. Finite-Time Robust Stability of Uncertain Genetic Regulatory Networks with Time-Varying Delays and Reaction-Diffusion Terms. Complexity،Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1132998
Modern Language Association (MLA)
Wang, Wenqin…[et al.]. Finite-Time Robust Stability of Uncertain Genetic Regulatory Networks with Time-Varying Delays and Reaction-Diffusion Terms. Complexity No. 2019 (2019), pp.1-18.
https://search.emarefa.net/detail/BIM-1132998
American Medical Association (AMA)
Wang, Wenqin& Dong, Yali& Zhong, Shouming& Liu, Feng. Finite-Time Robust Stability of Uncertain Genetic Regulatory Networks with Time-Varying Delays and Reaction-Diffusion Terms. Complexity. 2019. Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1132998
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132998