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
Keyword(s):  
Linear Systems ◽  
Feedback Stabilization ◽  
Distributed Delays ◽  
Control Variables ◽  
And Control

scholarly journals Joint Identification and Control in Hybrid Linear Systems

2020 ◽  
Vol 53 (2) ◽  
pp. 1084-1089
Author(s):  
Christoforos Somarakis ◽  
Ion Matei ◽  
Maksym Zhenirovskyy ◽  
Johan de Kleer ◽  
Souma Chowdhury ◽  
...  
Keyword(s):  
Linear Systems ◽  
Joint Identification ◽  
And Control

scholarly journals Optimal Control of an SIR Model with Delay in State and Control Variables

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Mohamed Elhia ◽  
Mostafa Rachik ◽  
Elhabib Benlahmar
Keyword(s):  
Optimal Control ◽  
Influenza A ◽  
Optimization Strategy ◽  
Sir Epidemic Model ◽  
Optimal Control Strategy ◽  
Control Variables ◽  
Sir Epidemic ◽  
Influenza A H1n1 ◽  
Using Data ◽  
And Control

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.

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