Variable	Meaning	Unit
$t$	Continuous time variable	days
$T_s$	Sampling period	day
$k$	Discrete time variable	day
$S$	Susceptible individuals	number of people
$I$	Active infected individuals	number of people
$I_S$	Active infected individuals displaying symptoms	number of people
$I_A$	Active infected individuals that do not display symptoms	number of people
$Z$	Cumulative number of infected individuals in the country	number of people
$R$	Recovered individuals	number of people
$R_S$	Recovered individuals that had symptom	number of people
$R_I$	Recovered individuals that did not display symptoms	number of people
$D$	Deceased individuals	number of people
$N$	Total population size (Brazil)	number of people
$\beta$	Average number of contacts sufficient for viral transmission	$\frac{1}{\text{day}}$
${\beta }_A$	Transmission rate for the symptomatic class	$\frac{1}{\text{day}}$
${\beta }_{S}A$	Transmission rate for the asymptomatic class	$\frac{1}{\text{day}}$
$p$	Symptomatic/Asymptomatic individual rate	–
$\gamma$	Recovery rate	–
${\gamma }_S$	Recovery rate for the symptomatic class	–
${\gamma }_A$	Recovery rate for the asymptomatic class	–
$\rho$	SARS-CoV-2 lethality rate	–
$\psi$	Response of the Population to Social Isolation Guidelines	–
${\psi }_{\text{inf}}$	“Hardest” Social Isolation factor	–
$u$	Social Isolation Guidelines / Control Input	–
$\Delta u$	Control increment	–
${\alpha }_{\text{Off}}$	Settling time parameter for “No Isolation” mode	$\frac{1}{\text{day}}$
${\alpha }_{\text{On}}$	Settling time parameter for “Social Isolation” mode	$\frac{1}{\text{day}}$
$K_{\psi }$	Time-varying social isolation gain w.r.t. active infections	–
${\gamma }_K$	Parameter this time-varying relationship	–
$q_D$	Sub-report uncertainty w.r.t. to deaths	–
$q_I$	Sub-report uncertainty w.r.t. to cumulative infections	–
$f(·)$	Nonlinear identification function	–
$n_{ICU}$	Total number of available ICU beds	–
$J$	MPC Cost function	–
$N_p$	MPC Prediction Horizon	days
$Q_I$	MPC trade-off weight	–
$\xi$	Slack variable	–