Dynamic feedback control of SIQR model guaranteeing semi-global asymptotic stability and robustness for inflow perturbations

This paper proposes a dynamic feedback controller for vaccination, isolation, and contact regulation to mitigate the spread of human infectious diseases. Using the SIQR model, control laws are designed to achieve not only internal stability on an arbitrarily large domain in the state space, but also input-to-state stability for immigrants and newborns perturbations. This paper demonstrates that the properties can be guaranteed under the delay and memory effects of information integration arising from the dynamic human decision even in the presence of range limitations of vaccination, isolation, and contact regulation.