An advanced delay-dependent approach of impulsive genetic regulatory networks besides the distributed delays, parameter uncertainties and time-varying delays
Articles
Selvakumar Pandiselvi
Alagappa University
Raja Ramachandran
Alagappa University
Jinde Cao
Southeast University, Nanjing
Grienggrai Rajchakit
Maejo University, Thailand
Aly R. Seadawy
Taibah University, Saudi Arabia
Ahmed Alsaedi
King Abdulaziz University, Saudi Arabia
Published 2018-12-20
https://doi.org/10.15388/NA.2018.6.1
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Keywords

genetic regulatory networks (GRNs)
time-varying delays
distributed delays
parameter uncertainty
convex combination method
impulses
linear matrix inequalities (LMIs)

How to Cite

Pandiselvi S., Ramachandran R., Cao J., Rajchakit G., Seadawy A. R. and Alsaedi A. (2018) “An advanced delay-dependent approach of impulsive genetic regulatory networks besides the distributed delays, parameter uncertainties and time-varying delays”, Nonlinear Analysis: Modelling and Control, 23(6), pp. 803-829. doi: 10.15388/NA.2018.6.1.

Abstract

In this typescript, we concerned the problem of delay-dependent approach of impulsive genetic regulatory networks besides the distributed delays, parameter uncertainties and time-varying delays. An advanced Lyapunov–Krasovskii functional are defined, which is in triple integral form. Combining the Lyapunov–Krasovskii functional with convex combination method and free-weighting matrix approach the stability conditions are derived with the help of linear matrix inequalities (LMIs). Some available software collections are used to solve the conditions. Lastly, two numerical examples and their simulations are conferred to indicate the feasibility of the theoretical concepts.

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