Feedback stabilization of linear systems with distributed delays in state and control variables

1994 ◽  
Vol 39 (8) ◽  
pp. 1714-1718 ◽  
Author(s):  
Feng Zheng ◽  
Mian Chey ◽  
Wei-Bing Gao
2020 ◽  
Vol 53 (2) ◽  
pp. 1084-1089
Author(s):  
Christoforos Somarakis ◽  
Ion Matei ◽  
Maksym Zhenirovskyy ◽  
Johan de Kleer ◽  
Souma Chowdhury ◽  
...  

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Mohamed Elhia ◽  
Mostafa Rachik ◽  
Elhabib Benlahmar

We will investigate the optimal control strategy of an SIR epidemic model with time delay in state and control variables. We use a vaccination program to minimize the number of susceptible and infected individuals and to maximize the number of recovered individuals. Existence for the optimal control is established; Pontryagin’s maximum principle is used to characterize this optimal control, and the optimality system is solved by a discretization method based on the forward and backward difference approximations. The numerical simulation is carried out using data regarding the course of influenza A (H1N1) in Morocco. The obtained results confirm the performance of the optimization strategy.


Sign in / Sign up

Export Citation Format

Share Document