Abstract
Background and objective: The stability problem in double delay differential diabetes system is affected by delay term and meal perturbation. This paper is addressed to assess the stability of such double diabetes system with unknown nonlinear perturbation and bounded time varying delay.
Method: The stability of a double diabetes system following a meal function as an unknown nonlinear perturbation function has been analyzed by using a Lyapunov-Krasovskii function. The stability matrices according to linear matrix inequality (LMI) were constructed and solved using YALMIP.
Results: The solution of the stability theorem gives semi definite matrices which fulfilled the stability criteria. Simulations observed such oscillation in the early meal intake.
Conclusion: Thus, it shows that for given values (30-51 min delay and unknown time varying perturbation) the double diabetes system is stable. (C) 2019 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.