State-Based Switching for Optimal Control of Computer Virus Propagation with External Device Blocking

Algorithm 1

Algorithm of the optimal control.

Input: , , , , , , , , , , and

Output: and

Divide the into subintervals for .

for    to    do

 ,

 if  

  break

 else

  for    to    do  % find index of for

   if    and  

    break

   end if

  end for

   for

  do

   ,

   Calculate , , , , with and   %  forward

   Calculate with for   %  backward

   Calculate , with

  until    or  

   % is a given sufficiently small positive constant

   % is the maximum number of iterations

  end if

end for