id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-244687-xmry4xj4	Hsieh, Chung-Han	On Control of Epidemics with Application to COVID-19	2020-11-02		.txt	text/plain	5667	431	72	Having defined the two problems, our main results are a set of sufficient conditions on a class of linear control policy which assures that the epidemic is"well-controlled"; i.e., both of the infected cases and deceased cases are upper bounded uniformly and the number of infected cases converges to zero asymptotically. In this section, to understand the contagion process and the evolution of the epidemic, we assume that there exists a control policy u(·) which assures that infected cases I(k), susceptible cases S(k), recovered cases R(k) and deceased cases D(k) are all nonnegative for all k with probability one. With the aids of Theorem 4.2 and Lemma 4.4, we see that if we take linear feedback policy with constant gain; i.e., u(k) = KI(k) and assuming that δ max < v min ( such that infected cases I(k) ≤ M D for all k with probability one.	./cache/cord-244687-xmry4xj4.txt	./txt/cord-244687-xmry4xj4.txt