Consider the following discrete linear timeinvariant system: 37k+1 : A$k+7kBka (0-1) where 33k E R\" is the system state at time k, 1% E Rm is the control input at time k, and W: E {0, 1} is the decision variable at the controller Whether it sends we to the system or not. Consider any initial condition 220 E R\" which is known to the controller (hence all future state 531:; k 2 1 are known to the controller). Assume the controller can communicate with the system for d (d E N and d